Inch to Fathom Converter
Convert inches to fathoms with our free online length converter.
Quick Answer
1 Inch = 0.013889 fathoms
Formula: Inch × conversion factor = Fathom
Use the calculator below for instant, accurate conversions.
Our Accuracy Guarantee
All conversion formulas on UnitsConverter.io have been verified against NIST (National Institute of Standards and Technology) guidelines and international SI standards. Our calculations are accurate to 10 decimal places for standard conversions and use arbitrary precision arithmetic for astronomical units.
Inch to Fathom Calculator
How to Use the Inch to Fathom Calculator:
- Enter the value you want to convert in the 'From' field (Inch).
- The converted value in Fathom will appear automatically in the 'To' field.
- Use the dropdown menus to select different units within the Length category.
- Click the swap button (⇌) to reverse the conversion direction.
How to Convert Inch to Fathom: Step-by-Step Guide
Converting Inch to Fathom involves multiplying the value by a specific conversion factor, as shown in the formula below.
Formula:
1 Inch = 0.0138889 fathomsExample Calculation:
Convert 10 inches: 10 × 0.0138889 = 0.138889 fathoms
Disclaimer: For Reference Only
These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.
Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.
Need to convert to other length units?
View all Length conversions →What is a Inch and a Fathom?
The inch is a unit of length in the British imperial and United States customary systems of measurement. Since the international yard and pound agreement of 1959, one inch has been defined as exactly 2.54 centimeters. This makes the inch equal to 1/12 of a foot, 1/36 of a yard, and 25.4 millimeters precisely.
The inch is denoted by the symbol in or by a double prime mark ″ (e.g., 5″ means 5 inches). In engineering drawings and construction blueprints, dimensions are typically expressed in feet and inches (e.g., 5′-3″ means 5 feet, 3 inches).
Unlike the metric system with its consistent decimal relationships, the inch exists within a complex system where 12 inches make a foot, 3 feet make a yard, and 1,760 yards make a mile. This fractional system reflects the inch's origins in human-scale measurements rather than mathematical convenience.
The Six-Foot Maritime Standard
The fathom is defined as exactly 6 feet in the imperial and U.S. customary measurement systems.
Precise equivalents:
- 6 feet (by definition)
- 2 yards (6 ft ÷ 3 ft/yd)
- 72 inches (6 ft × 12 in/ft)
- 1.8288 meters (exactly, using 1 ft = 0.3048 m)
- 182.88 centimeters
Historical basis: The arm span of an average man with arms fully outstretched, measured from fingertip to fingertip.
Arm Span Origins
Old English "fæthm":
- Primary meaning: To embrace, encircle with outstretched arms
- Secondary meaning: The distance between fingertips when arms are extended
Practical measurement: Sailors hauling in sounding lines (weighted ropes for measuring depth) would pull hand-over-hand, with each arm span representing one fathom. This created a natural counting method:
- Drop weighted line overboard
- Haul in, counting arm spans
- Number of arm spans = depth in fathoms
Standardization necessity: Since arm spans varied (5.5-6.5 feet typically), maritime commerce required a fixed standard. The British settled on exactly 6 feet, matching the standardized foot of 12 inches.
Nautical Charts and Depth Contours
Fathom lines: Nautical charts show depth contours (lines connecting points of equal depth) traditionally measured in fathoms.
Common contour intervals:
- 1, 2, 3, 5, 10 fathoms: Shallow coastal waters
- 20, 50, 100 fathoms: Coastal navigation
- 500, 1,000 fathoms: Deep ocean
Chart notation: Depths written as plain numbers on charts (e.g., "45") indicate 45 fathoms unless otherwise specified. Modern charts often include a note: "Depths in fathoms" or "Depths in meters."
Anchor Cable and Chain
Shackle: One "shackle" of anchor chain traditionally equals 15 fathoms (90 feet / 27.43 m) in the Royal Navy and many navies worldwide.
Anchoring depth rule: Ships typically anchor with a scope (ratio of chain length to water depth) of 5:1 to 7:1 for safety.
Example:
- Water depth: 10 fathoms (60 feet)
- Required chain: 50-70 fathoms (300-420 feet)
- That's 3.3 to 4.7 shackles
Note: The Inch is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Fathom belongs to the imperial/US customary system.
History of the Inch and Fathom
The inch has one of the longest continuous histories of any modern measurement unit, with roots stretching back over two millennia.
Ancient Origins: The Roman "uncia" (meaning one-twelfth) represented 1/12 of a Roman foot, similar to our modern inch. When the Romans occupied Britain, they brought this measurement system with them, establishing a tradition that would last far beyond their empire.
Medieval Definitions: Throughout the Middle Ages, various rulers attempted to standardize the inch using body-based measurements. King Edward I of England ordered in 1305 that an inch should equal the length of three barleycorns (grains of barley) laid end to end. King Edward II formalized this in 1324, making it English law. Other definitions included the width of a man's thumb at the base of the nail.
Regional Variations: Before standardization, different regions maintained slightly different inch measurements. The Tower inch, Merchant's inch, and Cloth inch all differed slightly, causing confusion in trade and construction. The French pouce (thumb) was approximately 1.066 English inches.
1959 International Agreement: The modern inch was defined by the international yard and pound agreement signed by the United States, United Kingdom, Canada, Australia, New Zealand, and South Africa. They agreed that 1 yard equals exactly 0.9144 meters, making 1 inch exactly 2.54 centimeters. This ended centuries of slight variations and created perfect mathematical alignment between imperial and metric systems.
US Survey Inch: For a time, the US maintained two slightly different inches—the international inch (2.54 cm exactly) and the US survey inch (2.540005080010160020 cm, based on the Mendenhall Order of 1893). As of January 1, 2023, the US officially retired the survey inch, making all American measurements use the international inch exclusively.
Ancient Maritime Practices (Pre-9th Century)
Mediterranean and Northern European sailors: Ancient mariners measured rope and depth using body-based units:
- Cubit: Elbow to fingertip (~18 inches)
- Pace: Two steps (~5 feet)
- Arm span: Outstretched arms (~6 feet)
Sounding lead: A heavy weight (lead sinker) attached to a marked line, dropped overboard to measure depth. Sailors counted arm spans as they hauled the line back aboard.
Old English Documentation (9th-11th Centuries)
Earliest references: Anglo-Saxon texts use "fæthm" for measuring rope lengths and describing distances.
Beowulf (8th-11th century): The epic poem mentions "fæthmas" in describing ocean depths and ship measurements.
Viking influence: Old Norse "faðmr" (similar arm-span measurement) influenced English usage through Viking contact and trade.
Medieval Standardization (13th-15th Centuries)
Edward I (1272-1307): English law under Edward I began standardizing measurements, including the fathom at 6 feet.
Admiralty regulations: The emerging Royal Navy needed consistent rope, sail, and depth measurements for shipbuilding and navigation.
Rope making: British rope makers sold cordage by the fathom, with standard lengths for anchor cables (120 fathoms = 1 cable length in some contexts).
Age of Exploration (15th-17th Centuries)
Navigation charts: Early nautical charts (portolan charts) began incorporating depth soundings in fathoms.
Captain James Cook (1768-1779): Cook's Pacific voyages produced meticulous charts with fathom-based depth measurements. His charts became templates for British Admiralty standards.
Example - HMS Endeavour soundings: Cook's logs record depths like "15 fathoms, sandy bottom" or "No bottom at 100 fathoms" (indicating depths exceeding 600 feet).
British Admiralty Charts (19th Century)
Hydrographic Office (founded 1795): The British Admiralty Hydrographic Office systematized global nautical chart production, standardizing fathoms for depth.
Matthew Fontaine Maury (1806-1873): American oceanographer Maury collaborated with the British to create standardized depth charts using fathoms, mapping ocean currents and depths.
Cable-laying expeditions: Transatlantic telegraph cable projects (1850s-1860s) required precise fathom-based depth surveys. HMS Agamemnon and USS Niagara charted the Atlantic floor in fathoms before laying the 1858 cable.
U.S. Navy Adoption (19th-20th Centuries)
Inherited British standards: The U.S. Navy adopted British maritime practices, including fathom-based charts and anchor cable measurements.
U.S. Coast and Geodetic Survey: Founded in 1807 (originally "Survey of the Coast"), it produced nautical charts in fathoms for American waters.
World War II: Submarine warfare and amphibious operations relied heavily on fathom-based depth charts. USS submarines operated in waters charted in fathoms.
Metrication Movement (20th Century-Present)
International Hydrographic Organization (IHO, founded 1921): Recommended global adoption of metric system for nautical charts.
Gradual transition:
- 1970s-1980s: Most nations began publishing new charts in meters
- UK Admiralty: Converted most charts to meters by the 1990s
- U.S. NOAA: Many American charts still use fathoms, particularly for coastal waters
Mixed usage today: Modern electronic chart systems (ECDIS) allow display in either fathoms or meters, accommodating mariners accustomed to either system.
Common Uses and Applications: inches vs fathoms
Explore the typical applications for both Inch (imperial/US) and Fathom (imperial/US) to understand their common contexts.
Common Uses for inches
Home Construction and Renovation
Residential construction in the United States operates almost exclusively in inches and feet. Standard framing uses 16-inch or 24-inch on-center stud spacing, creating modular dimensions that align with 48-inch-wide drywall and plywood sheets. Contractors calculate materials in board feet and square footage, but individual measurements are precise to 1/16 inch.
Kitchen cabinets come in 3-inch width increments (12″, 15″, 18″, 21″, 24″, 27″, 30″, 33″, 36″), with standard depth of 24 inches for base cabinets and 12 inches for wall cabinets. Countertop height standardizes at 36 inches, while bar counters sit at 42 inches. These dimensions have remained unchanged for decades, creating an entire ecosystem of compatible fixtures, appliances, and hardware.
Tile installation relies on precise inch measurements. Floor tiles commonly measure 12″ × 12″, 12″ × 24″, or 24″ × 24″. Wall tiles might be 3″ × 6″ subway tiles or 4″ × 4″ ceramic squares. Grout line spacing typically runs 1/16″ to 1/4″ depending on tile type. Tile setters work to extremely tight tolerances, as even 1/16-inch variation across a room becomes visibly noticeable.
Manufacturing and Machining
American manufacturing maintains imperial measurements for historical and practical reasons. Machine shops operate in decimal inches (0.001″ = 1 "thou" or 1 "mil"), with precision machining achieving tolerances of ±0.0001″ (one ten-thousandth of an inch, called a "tenth").
Thread specifications use threads per inch (TPI): 1/4″-20 means a 1/4-inch diameter bolt with 20 threads per inch. Common thread pitches include coarse (UNC) and fine (UNF) standards, with sizes ranging from #0-80 (tiny electronic screws) to several inches in diameter for industrial equipment.
Sheet metal thickness traditionally uses gauge numbers (inversely related to thickness in inches). 20-gauge steel is approximately 0.036 inches thick, while 10-gauge is 0.135 inches. However, modern manufacturing increasingly specifies thickness in decimal inches (0.063″ aluminum sheet) for clarity.
CNC (Computer Numerical Control) machines can work in either inches or millimeters, but American shops predominantly program in inches. A machinist might bore a hole to 0.5005″ diameter to accept a 1/2-inch precision shaft with 0.0005″ clearance.
Fasteners and Hardware
The American fastener industry operates entirely in imperial measurements. Screw and bolt diameters are specified in fractions (1/4″, 5/16″, 3/8″, 1/2″) or gauge numbers (#4, #6, #8, #10). Thread pitch is given in threads per inch.
Common bolt sizes and their applications:
- 1/4″-20: Electronics, light fixtures, small brackets
- 5/16″-18: Medium structural connections, automotive
- 3/8″-16: Heavy brackets, machinery, automotive chassis
- 1/2″-13: Structural steel, heavy machinery, trailer hitches
- 5/8″-11: Building construction, large structural connections
- 3/4″-10: Industrial equipment, heavy structural steel
Hex keys (Allen wrenches) come in fractional inch sizes: 1/16″, 5/64″, 3/32″, 1/8″, 5/32″, 3/16″, 7/32″, 1/4″, 5/16″, and 3/8″. Metric hex keys are incompatible—a 5mm key is 0.197″, close to but not quite matching 3/16″ (0.1875″) or 1/4″ (0.25″).
Display Technology and Photography
Television and monitor sizes are universally described by screen diagonal in inches, even in metric countries. This convention originated with cathode ray tubes, where the diagonal measurement corresponded to the visible screen area inside the bezel.
Common display sizes and their uses:
- 24″ monitors: Standard office workstation
- 27″ monitors: Popular desktop size, ideal for 1440p resolution
- 32″ monitors: Large desktop or small TV
- 43″ TVs: Small bedroom TV
- 55″ TVs: Most popular living room size
- 65″ TVs: Premium living room standard
- 75″ TVs: Home theater
- 85″+ TVs: Luxury home cinema
Photography inherited imperial measurements from early camera equipment. Sensor sizes reference inches in confusing ways—a "1-inch sensor" is actually much smaller (13.2 × 8.8 mm), referencing the outer diameter of an obsolete video camera tube rather than the actual sensor dimensions.
Large format photography uses inch measurements directly: 4×5″ and 8×10″ sheet film, or medium format 6×4.5cm, 6×6cm, 6×7cm (which are actually metric despite being called 120 film).
Plumbing and Pipe Systems
Plumbing pipe sizes in the US use nominal measurements that don't match actual dimensions. A "1/2-inch pipe" has an inside diameter of approximately 0.622″ and outside diameter of 0.840″. This naming convention dates back to when pipe walls were much thicker.
Common pipe sizes and uses:
- 1/2″ nominal: Standard water supply lines to fixtures
- 3/4″ nominal: Main water supply within house
- 1″ nominal: Supply from water meter to house
- 1½″ nominal: Sink drain lines
- 2″ nominal: Toilet drain, main stack
- 3″ nominal: Main drain, sewer connection
- 4″ nominal: Main building drain and sewer
Copper pipe uses different sizing: Type M, L, and K copper all have the same outside diameter for a given size, but different wall thicknesses. PEX (cross-linked polyethylene) tubing uses actual measurements—1/2″ PEX has a 0.500″ outside diameter.
Weather Reporting and Climatology
United States weather forecasting measures precipitation in inches. The National Weather Service issues warnings based on inch thresholds:
- Flash Flood Watch: Expected 1-2 inches in one hour or 3-4 inches in several hours
- Heavy Snow Warning: 6+ inches in 12 hours or 8+ inches in 24 hours
- Blizzard Warning: 3+ hours of heavy snow with sustained winds 35+ mph
Rainfall intensity rates:
- Light rain: <0.10 inches per hour
- Moderate rain: 0.10 to 0.30 inches per hour
- Heavy rain: >0.30 inches per hour
Annual precipitation varies dramatically across the US:
- Las Vegas, NV: 4.2 inches per year (desert)
- Phoenix, AZ: 8.3 inches per year
- Los Angeles, CA: 14.9 inches per year
- New York, NY: 46.2 inches per year
- Seattle, WA: 37.5 inches per year
- Miami, FL: 61.9 inches per year
- Mobile, AL: 67.0 inches per year (wettest major US city)
- Mt. Waialeale, HI: 450+ inches per year (one of Earth's wettest places)
Automotive and Cycling
American automotive specifications traditionally use inches:
- Wheel Diameter: 15″, 16″, 17″, 18″, 19″, 20″, 22″ (passenger vehicles)
- Tire Width: Given in millimeters, but wheel size in inches (e.g., 225/65R17)
- Ground Clearance: Often stated in inches (e.g., 8.6″ clearance)
- Cargo Space: Cubic feet, with dimensions in inches
- Engine Displacement: Historically cubic inches (350 cu in = 5.7L), now usually liters
Bicycle sizing uses a mix of systems. Mountain bike wheels measure 26″, 27.5″ (650B), or 29″ in diameter. Road bikes use the 700c standard (approximately 27″ diameter, derived from French sizing). Frame sizes might be given in inches (17″ mountain bike) or centimeters (56cm road bike) depending on manufacturer and tradition.
HVAC and Duct Work
Heating, ventilation, and air conditioning (HVAC) systems in the US specify duct sizes in inches. Rectangular ductwork might be 6″ × 10″, 8″ × 12″, or 10″ × 16″. Round ducts come in 4″, 6″, 8″, 10″, and 12″ diameters.
Air register and vent sizes are standardized in inches:
- Floor registers: 4″ × 10″, 4″ × 12″, 4″ × 14″
- Wall registers: 6″ × 10″, 6″ × 12″, 8″ × 10″
- Return air grilles: 14″ × 24″, 16″ × 20″, 20″ × 20″
Furnace filters use inch sizing: 16″ × 20″ × 1″, 16″ × 25″ × 1″, 20″ × 25″ × 4″. The first two dimensions are the face size, and the third is the thickness. Standard filters are 1″ thick, while pleated media filters might be 4″ or 5″ thick for better filtration and airflow.
When to Use fathoms
1. Nautical Charts and Hydrography
Depth soundings: Nautical charts mark depths in fathoms, particularly on U.S. and older British charts.
Contour lines: Lines connecting equal depths (e.g., the 10-fathom line) help mariners avoid shallow areas.
Chart abbreviations:
- fms: Fathoms
- fm: Fathom
- No bottom at 100 fms: Depth exceeds 100 fathoms (600 feet)
2. Anchoring and Mooring
Anchor scope: Mariners calculate how much anchor chain to deploy based on water depth in fathoms.
Rule of thumb: Deploy 5-7 times the water depth in calm conditions, 7-10 times in storms.
Example:
- Depth: 8 fathoms
- Calm weather scope (5:1): 40 fathoms of chain
- Storm scope (10:1): 80 fathoms of chain
3. Commercial Fishing
Net depth: Fishermen describe trawl net depths in fathoms.
Example: "Running trawl at 50 fathoms" (300 feet deep)
Fishing line: Deep-sea fishing lines measured in fathoms to target specific depths.
4. Recreational Boating and Diving
Depth sounders: Many recreational boat depth finders display fathoms (though meters and feet are increasingly common).
Dive planning: Divers reference depth in fathoms on nautical charts when planning dive sites.
5. Submarine Operations
Periscope depth: Submarines traditionally use fathoms for depth control.
Example: "Dive to 20 fathoms" (120 feet)
Historical note: WWII submarine logs recorded depths in fathoms; modern submarines use meters.
6. Maritime Literature and Tradition
Nautical expressions:
- "To fathom something" = to understand its depth (metaphorically)
- "Unfathomable" = too deep to measure or comprehend
Sailing instructions: Traditional pilot books use fathoms for approach depths and anchorage recommendations.
Additional Unit Information
About Inch (in)
How many inches are in a foot?
There are exactly 12 inches in one foot. This relationship is fixed by definition in the US customary and imperial systems. The division of a foot into 12 parts dates back to ancient Roman measurements and remained standard because 12 is easily divisible by 2, 3, 4, and 6—making fractional measurements convenient in practical applications.
To convert feet to inches, multiply by 12. To convert inches to feet, divide by 12.
- 5 feet = 5 × 12 = 60 inches
- 48 inches = 48 ÷ 12 = 4 feet
- 3 feet 7 inches = (3 × 12) + 7 = 43 inches total
How many centimeters are in an inch?
One inch equals exactly 2.54 centimeters. This relationship was established by the 1959 international yard and pound agreement, which defined the yard as exactly 0.9144 meters. Since one inch equals 1/36 of a yard, it works out to precisely 2.54 cm.
This is one of the few perfectly defined relationships between imperial and metric systems. There's no rounding or approximation—it's exactly 2.54000... cm per inch by international agreement.
To convert inches to centimeters, multiply by 2.54. To convert centimeters to inches, divide by 2.54.
- 10 inches = 10 × 2.54 = 25.4 cm
- 50 cm = 50 ÷ 2.54 = 19.685 inches
Why does the US still use inches instead of the metric system?
The United States remains one of only three countries (along with Myanmar and Liberia) not officially using the metric system, largely due to historical momentum, infrastructure costs, and cultural identity.
Infrastructure Investment: The US has trillions of dollars invested in imperial-based infrastructure—road signs showing miles, construction materials in feet and inches, manufacturing equipment calibrated in thousandths of an inch, pipelines in inch diameters, and billions of blueprints in feet-inches notation. Converting all of this would cost an estimated $370 billion to $1 trillion.
Industry Standardization: American manufacturing, construction, and engineering have perfected systems around imperial measurements over centuries. Millions of workers are trained in inches and feet. Changing would require retraining entire industries and replacing countless tools, gauges, and documentation.
Cultural Resistance: Americans intuitively understand inches, feet, and miles from childhood. Polls consistently show that most Americans oppose mandatory metric conversion, viewing it as unnecessary government overreach. Unlike temperature (where Fahrenheit provides finer granularity for weather), length measurements in inches don't provide any practical advantage—but changing feels like abandoning tradition.
Failed Conversion Attempts: Congress passed the Metric Conversion Act in 1975, making metric the "preferred system" but keeping adoption voluntary. Without enforcement, industries continued using imperial. A 1982 push to convert road signs to kilometers was abandoned after fierce public backlash.
Partial Adoption: The US actually uses metric extensively in science, medicine, military, and some industries. All US customary units are now legally defined in terms of metric units. Americans live in a hybrid system—drinking 2-liter sodas while driving 65 miles per hour.
What's the difference between decimal inches and fractional inches?
Fractional inches express measurements as common fractions: 1/2″, 3/4″, 5/8″, 7/16″, 15/32″. This system dominates carpentry, construction, and mechanical work. Rulers and tape measures show fraction markings—typically down to 1/16″ for standard use and 1/32″ for precision carpentry.
Decimal inches express measurements as decimal values: 0.5″, 0.75″, 0.625″, 0.4375″, 0.46875″. Engineering drawings, machining, and manufacturing prefer decimals because they're easier to calculate with, especially for tolerances and fits.
Both systems describe the same measurements:
- 1/2″ = 0.500″
- 3/4″ = 0.750″
- 5/8″ = 0.625″
- 1/8″ = 0.125″
Machine shops often work in "thousandths" (0.001″, called a "thou" or "mil") for precision. A machinist might drill a 0.257″ diameter hole—trying to express this as a fraction (257/1000″) would be impractical.
Carpenters and builders work in fractions because tape measures show fractions, and because halving measurements repeatedly (1/2, 1/4, 1/8, 1/16, 1/32) is natural in layout work.
How accurate is an inch measurement?
The definition of an inch is exact: 2.54 centimeters precisely, or 25.4 millimeters. There's no uncertainty in the standard itself.
Practical accuracy depends on the measuring tool:
- Ruler or tape measure: Accurate to roughly ±1/16″ (±1.6 mm) for careful work
- Steel ruler with machinist's markings: ±1/32″ (±0.8 mm) when read carefully
- Dial calipers: ±0.001″ (±0.025 mm) typical accuracy
- Digital calipers: ±0.0005″ (±0.013 mm) for quality instruments
- Micrometers: ±0.0001″ (±0.0025 mm) for precision tools
- Coordinate measuring machines (CMM): ±0.00005″ (±0.0013 mm) or better
Different trades require different precision:
- House framing: ±1/8″ is usually acceptable
- Finish carpentry: ±1/16″ or better for visible joints
- Cabinetmaking: ±1/32″ for tight-fitting doors and drawers
- Machining: ±0.001″ (one thousandth) for standard fits
- Precision machining: ±0.0001″ (one ten-thousandth, called a "tenth")
- Gauge blocks (calibration standards): Accurate to millionths of an inch
Can I use a metric wrench on an inch bolt?
Generally no—metric and imperial fasteners are incompatible. While some sizes appear close, using the wrong wrench damages bolt heads and nuts.
Why they're incompatible: Metric sockets and wrenches are sized in millimeters (8mm, 10mm, 13mm, 17mm), while imperial fasteners use fractional inches (5/16″, 3/8″, 1/2″, 5/8″). These don't align:
- 13mm = 0.512″ (close to 1/2″ = 0.500″, but not exact)
- 10mm = 0.394″ (between 3/8″ = 0.375″ and 7/16″ = 0.438″)
The result: A 13mm wrench on a 1/2″ bolt will be 0.012″ too large—enough to round off the hex corners with sufficient force. A 10mm wrench on a 3/8″ bolt won't fit at all.
Exception: In an emergency, you might carefully use a slightly large adjustable wrench or locking pliers, but this risks damaging the fastener. Always use the correct system—if you work on American-made equipment, you need inch tools. For European or Japanese equipment, you need metric tools.
Many professional mechanics maintain complete sets of both imperial and metric sockets, wrenches, and hex keys—a significant investment but essential for working on diverse equipment.
What does the ″ symbol mean?
The double prime symbol ″ represents inches in technical drawings, blueprints, and mathematical contexts. A single prime ′ represents feet.
Standard notation:
- 5′ = five feet
- 5″ = five inches
- 5′-3″ = five feet, three inches
- 5′-3½″ = five feet, three and a half inches
Origin: These symbols come from astronomical and geometric notation, where they represented divisions of degrees (°). A degree divided by 60 gives minutes (′), and a minute divided by 60 gives seconds (″). This notation was borrowed for feet and inches because of the similar subdividing relationship.
Common substitution: Because typewriters and keyboards lack easy access to proper prime symbols, people often substitute:
- Apostrophe (') for feet: 5' tall
- Quotation mark (") for inches: 5" wide
- Both together: 5'-3" tall
In professional CAD drawings and blueprints, proper prime symbols (′ and ″) are standard. In casual writing, apostrophes and quotes are acceptable and universally understood.
How is screen size measured in inches?
Display screen sizes (TVs, monitors, tablets, smartphones) are always measured diagonally from one corner to the opposite corner, measuring only the visible screen area (not the bezel or frame).
Why diagonal? This convention originated with cathode ray tubes (CRTs), where the diagonal measurement corresponded to the size of the round tube face. When rectangular screens became standard, the diagonal measurement convention persisted for consistency.
Practical dimensions for common sizes:
TVs (16:9 aspect ratio):
- 55″ diagonal = approximately 48″ wide × 27″ tall
- 65″ diagonal = approximately 56.7″ wide × 31.9″ tall
- 75″ diagonal = approximately 65.4″ wide × 36.8″ tall
Monitors (16:9 aspect ratio):
- 24″ diagonal = approximately 20.9″ wide × 11.8″ tall
- 27″ diagonal = approximately 23.5″ wide × 13.2″ tall
Why this matters: When planning where to place a TV or monitor, you need the actual width and height, not the diagonal. Always check specifications for exact dimensions. Also add 1-2 inches in each direction to account for the bezel.
How do I convert inches to millimeters?
To convert inches to millimeters, multiply by 25.4. This gives you an exact result because the inch is legally defined as exactly 2.54 centimeters (25.4 millimeters).
Formula: millimeters = inches × 25.4
Examples:
- 1 inch = 1 × 25.4 = 25.4 mm
- 2 inches = 2 × 25.4 = 50.8 mm
- 0.5 inches = 0.5 × 25.4 = 12.7 mm
- 10 inches = 10 × 25.4 = 254 mm
- 3.25 inches = 3.25 × 25.4 = 82.55 mm
Converting fractional inches: First convert the fraction to a decimal, then multiply by 25.4:
- 1/2″ = 0.5″ = 0.5 × 25.4 = 12.7 mm
- 3/4″ = 0.75″ = 0.75 × 25.4 = 19.05 mm
- 5/8″ = 0.625″ = 0.625 × 25.4 = 15.875 mm
- 1/8″ = 0.125″ = 0.125 × 25.4 = 3.175 mm
Reverse conversion (mm to inches): Divide millimeters by 25.4:
- 50 mm = 50 ÷ 25.4 = 1.969 inches (approximately 2 inches)
- 100 mm = 100 ÷ 25.4 = 3.937 inches (approximately 4 inches)
For quick mental estimates, remember that 25mm ≈ 1 inch. This gives you approximately correct values for rough planning, though it slightly underestimates (25mm is actually 0.984 inches).
Why are lumber dimensions not the actual size?
Lumber in the United States is sold using nominal dimensions—traditional names that don't match the actual milled size. A "2×4" is actually 1.5″ × 3.5″, not 2″ × 4″.
Historical reason: Originally, rough-cut lumber fresh from the sawmill did measure 2″ × 4″. However, the lumber then went through drying (removing moisture) and planing (smoothing surfaces), which reduced dimensions by approximately 1/4″ on each face. Rather than rename everything, the industry kept nominal sizing for ordering convenience while standardizing actual dimensions.
Standard actual dimensions:
- 2×4 → 1.5″ × 3.5″
- 2×6 → 1.5″ × 5.5″
- 2×8 → 1.5″ × 7.25″
- 2×10 → 1.5″ × 9.25″
- 2×12 → 1.5″ × 11.25″
- 4×4 → 3.5″ × 3.5″
- 1×4 → 0.75″ × 3.5″
- 1×6 → 0.75″ × 5.5″
These dimensions are mandated by the American Softwood Lumber Standard (PS 20-20) and are consistent across all retailers.
Why this system persists: Construction is designed around nominal dimensions. Studs are spaced "16 inches on center" in walls, but everyone understands the actual stud is 1.5″ thick. Changing to actual dimension naming would require rewriting building codes, retraining millions of workers, and changing century-old industry conventions.
Important for DIY: Always design projects using actual lumber dimensions, not nominal. If you're building something that needs to be exactly 4 inches wide, a 2×4 laid flat won't work—it's only 3.5 inches.
What is the smallest measurement on a standard tape measure?
Most standard tape measures used in construction and carpentry show markings down to 1/16 inch as the smallest division. Each inch is divided into 16 equal parts, with various line lengths to indicate fractions:
- Longest lines: Every inch (1″, 2″, 3″...)
- Next longest: Half inches (1/2″, 1½″, 2½″...)
- Medium lines: Quarter inches (1/4″, 3/4″, 1¼″...)
- Shorter lines: Eighths (1/8″, 3/8″, 5/8″, 7/8″)
- Shortest lines: Sixteenths (1/16″, 3/16″, 5/16″... through 15/16″)
Precision tape measures for finish carpentry may show 1/32-inch divisions, doubling the number of marks. These are harder to read but provide twice the precision for fine woodworking.
Reading tape measures: The marks use a graduated system where longer marks indicate simpler fractions. The 1/2″ mark is the longest subdivision line, the 1/4″ and 3/4″ marks are slightly shorter, the 1/8″ marks are shorter still, and the 1/16″ marks are the shortest. This visual hierarchy makes it easier to count marks and identify positions quickly without having to count every line.
Practical accuracy: Even with 1/16″ markings, human error in marking and cutting typically limits practical accuracy to about ±1/16″ for construction work. Finish carpentry might achieve ±1/32″ with careful measurement and sharp marking.
For measurements more precise than 1/32 inch, professionals use dial calipers (readable to 0.001″) or digital calipers rather than tape measures.
Is an inch the same at different temperatures?
Technically, no. Metal expands when it gets hot. A steel ruler that is exactly 12 inches at room temperature will be slightly longer in the summer heat. This is why official standards are measured at 20°C (68°F). In high-precision manufacturing, factories are kept at a constant temperature so their measurements don't "drift."
What is the connection between barleycorns and shoe sizes?
The medieval definition of an inch as "three barleycorns" actually survives today in your shoes! One "size" in the UK and US shoe systems is exactly one barleycorn (1/3 of an inch). This is why a Size 10 is 1/3 of an inch longer than a Size 9.
Why is 120 film called 120 if it's 2.4 inches wide?
The name "120" was actually a catalog number given by Kodak in 1901. It doesn't relate to its width in millimeters or inches directly. However, the film is approximately 2.4 inches (61mm) wide, allowing for a variety of image formats like 2.25" x 2.25" (6x6).
What is a "Square Inch" of pressure?
In the US, tire pressure and steam pressure are measured in PSI (Pounds per Square Inch). It tells you how much force is pressing against a one-inch by one-inch square. For example, a car tire typically has 32 PSI.
How many inches are in a "Hands" measurement for horses?
Horses are measured in "hands," and one hand is exactly 4 inches. If a horse is 15 hands high, it means they are 60 inches tall at the shoulder.
What is the "Inch of Mercury" (inHg)?
Meteorologists use "inches of mercury" to measure air pressure. It refers to how high the pressure of the atmosphere can push a column of liquid mercury inside a glass tube. Standard sea-level pressure is about 29.92 inches.
Are "Mils" and "Millimeters" the same?
No! This is a dangerous mistake.
- In the US, a Mil is 1/1000th of an inch (0.001").
- A Millimeter is 1/1000th of a meter. One millimeter is about 39 mils. Mixing them up in manufacturing can lead to catastrophic failures.
Why are TV screens measured diagonally instead of width?
It started as a marketing trick in the early days of TV (when tubes were round). It made the number sound larger! A 55-inch diagonal TV sounds bigger than a 48-inch wide TV, even though they are the same physical object.
Can an inch be divided into 10 parts?
Yes! While tape measures use 8, 16, or 32 parts, engineers and land surveyors often use "Engineers' Scales" where an inch is divided into 10, 20, 30, 40, 50, or 60 parts. This makes it easier to use decimal math (e.g., 0.1", 0.2").
How many inches is a standard "brick"?
A standard US modular brick is 7 5/8 inches long, which allows for a 3/8-inch mortar joint to make the total unit exactly 8 inches long. This "8-inch module" is the secret to why brick patterns fit so perfectly together.
About Fathom (fath)
How many feet are in a fathom?
Exactly 6 feet = 1 fathom.
This is the defining relationship. The fathom was standardized to 6 feet during medieval English measurement standardization.
How many meters are in a fathom?
1 fathom = 1.8288 meters (exactly).
This conversion uses the international foot definition: 1 foot = 0.3048 meters (exactly).
Calculation: 6 feet × 0.3048 m/ft = 1.8288 m
Is the fathom an SI unit?
No, the fathom is not an SI unit.
It belongs to the imperial and U.S. customary systems. The SI unit of length is the meter.
International usage: The International Hydrographic Organization recommends meters for nautical charts, but fathoms remain legal and common in U.S. and some British waters.
Is the fathom still commonly used today?
Yes, in specific maritime contexts, especially in the United States.
Still common:
- U.S. NOAA nautical charts (many coastal charts)
- Recreational boating in the U.S.
- Commercial fishing fleets
- Maritime tradition and literature
Declining usage:
- International shipping (uses meters)
- Most modern navies (switched to meters)
- New chart production (increasingly metric)
Result: Fathoms persist in American waters and traditional maritime communities but are gradually being replaced by meters in international contexts.
Where does the word "fathom" come from?
From Old English "fæthm" (outstretched arms, embrace).
Etymology:
- Proto-Germanic: *faþmaz (embrace, armful)
- Old English: fæthm (span of outstretched arms)
- Middle English: fadme, fathme
- Modern English: fathom
Original meaning: The distance between fingertips when a person extends both arms horizontally—roughly 6 feet for an average man.
Verb form: "To fathom" originally meant "to measure depth with outstretched arms," later metaphorically "to comprehend deeply" (exploring the depths of understanding).
Why are anchor chains measured in shackles, not fathoms?
Both are used, but shackles are standard for large vessels.
Shackle definition: 1 shackle = 15 fathoms = 90 feet = 27.43 meters
Reason: Anchor chains are physically connected with shackle links every 15 fathoms. These physical shackles allow disconnection for maintenance and provide visual/tactile markers when deploying chain.
Usage:
- Small vessels: Anchor chain length in fathoms
- Large vessels and navies: Anchor chain length in shackles
Example: "Deploy 5 shackles" = 75 fathoms = 450 feet of chain
How deep is "full fathom five"?
5 fathoms = 30 feet = 9.144 meters.
Shakespeare's The Tempest: Ariel's song describes a drowned man lying at the bottom, 5 fathoms below the surface.
Context: 30 feet is deep enough that:
- Surface light barely reaches the body
- Free diving without equipment is challenging
- The body would be difficult to recover without specialized equipment
This depth creates the eerie, unreachable quality of Ariel's description.
Can I convert my depth sounder from fathoms to meters?
Yes, most modern depth sounders (fishfinders, chartplotters) allow unit selection.
Typical options:
- Feet
- Fathoms
- Meters
How to change (general steps):
- Access settings menu
- Find "Units" or "Depth Units"
- Select preferred unit (fathoms, feet, or meters)
- Save settings
Check manual: Specific instructions vary by manufacturer (Garmin, Lowrance, Raymarine, Furuno, etc.).
What's the difference between fathoms and cable lengths?
Both are nautical length units, but they measure different things:
Fathom:
- 6 feet / 1.8288 meters
- Primarily for depth measurement
Cable length:
- UK: 608 feet = 185.3 meters (1/10 nautical mile)
- US (historical): 720 feet = 219.5 meters (120 fathoms)
- Primarily for horizontal distance (anchor cable, ship-to-ship spacing)
Confusion: The term "cable" sometimes referred to 100 or 120 fathoms of anchor cable, but the standardized "cable length" unit differs from this.
Do submarines still use fathoms?
Historically yes, but modern submarines use meters.
World War II era: U.S. and British submarines recorded depths in fathoms (e.g., "Dive to 50 fathoms").
Modern practice:
- U.S. Navy: Switched to feet and meters for submarine operations
- International: Nearly all modern navies use meters
Reason for change: International standardization, digital instrumentation, and NATO interoperability drove metrication.
Conversion Table: Inch to Fathom
| Inch (in) | Fathom (fath) |
|---|---|
| 0.5 | 0.007 |
| 1 | 0.014 |
| 1.5 | 0.021 |
| 2 | 0.028 |
| 5 | 0.069 |
| 10 | 0.139 |
| 25 | 0.347 |
| 50 | 0.694 |
| 100 | 1.389 |
| 250 | 3.472 |
| 500 | 6.944 |
| 1,000 | 13.889 |
People Also Ask
How do I convert Inch to Fathom?
To convert Inch to Fathom, enter the value in Inch in the calculator above. The conversion will happen automatically. Use our free online converter for instant and accurate results. You can also visit our length converter page to convert between other units in this category.
Learn more →What is the conversion factor from Inch to Fathom?
The conversion factor depends on the specific relationship between Inch and Fathom. You can find the exact conversion formula and factor on this page. Our calculator handles all calculations automatically. See the conversion table above for common values.
Can I convert Fathom back to Inch?
Yes! You can easily convert Fathom back to Inch by using the swap button (⇌) in the calculator above, or by visiting our Fathom to Inch converter page. You can also explore other length conversions on our category page.
Learn more →What are common uses for Inch and Fathom?
Inch and Fathom are both standard units used in length measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our length converter for more conversion options.
For more length conversion questions, visit our FAQ page or explore our conversion guides.
Helpful Conversion Guides
Learn more about unit conversion with our comprehensive guides:
📚 How to Convert Units
Step-by-step guide to unit conversion with practical examples.
🔢 Conversion Formulas
Essential formulas for length and other conversions.
⚖️ Metric vs Imperial
Understand the differences between measurement systems.
⚠️ Common Mistakes
Learn about frequent errors and how to avoid them.
All Length Conversions
Other Length Units and Conversions
Explore other length units and their conversion options:
- Meter (m) • Inch to Meter
- Kilometer (km) • Inch to Kilometer
- Hectometer (hm) • Inch to Hectometer
- Decimeter (dm) • Inch to Decimeter
- Centimeter (cm) • Inch to Centimeter
- Millimeter (mm) • Inch to Millimeter
- Foot (ft) • Inch to Foot
- Yard (yd) • Inch to Yard
- Mile (mi) • Inch to Mile
- Nautical Mile (NM) • Inch to Nautical Mile
Verified Against Authority Standards
All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.
National Institute of Standards and Technology — Official US standards for length measurements
Bureau International des Poids et Mesures — International System of Units official documentation
Last verified: February 19, 2026