Foot

Definitionnoun

What is a foot in math?

A foot is a US customary unit of length equal to 12 inches, about the length of a standard school ruler. Its abbreviation is ft, and its plural is feet. There are 3 feet in a yard and 5,280 feet in a mile, and 1 foot is exactly 30.48 centimeters.

In Spanish
pie
Also called
feet (plural), ft, international foot
Grade level
K-5
Grade 2Grade 3Grade 4Grade 5CCSS 2.MD.A.1CCSS 4.MD.A.1CCSS 5.MD.A.1GEDTABEASVABHiSET

Foot in a picture

How long a foot isA 12-inch ruler with marks every half inch, bracketed as 1 foot = 12 inches. Below, a yardstick made of three 1-foot sections: 1 yard = 3 feet = 36 inches. Two cards: 1 mile = 5,280 feet, and 1 foot = 30.48 centimeters exactly.A 12-inch ruler is 1 foot long12345678910111 foot (ft) = 12 inches (in)A yardstick is 3 feet1 ft1 ft1 ft1 yard (yd) = 3 feet = 36 inches1 mile= 5,280 feet1 foot= 30.48 cm(exactly)
Twelve inches make a foot, three feet make a yard, and 5,280 feet make a mile.

Formal definition and notation

The (international) foot is a unit of length in the US customary system defined as exactly 0.3048 meter. It is divided into 12 inches, so 1 in = 2.54 cm exactly, and 3 feet make 1 yard. Area in square feet uses 1 ft2 = 144 in2, and volume uses 1 ft3 = 1,728 in3.

Symbol Read it as Meaning
ft feet the abbreviation: 6 ft
a single prime mark after a number feet another way to write feet, as in 5 feet 9 inches written with prime marks
ft2 square feet a unit of area: a square 1 ft on each side

Key facts

  • 1 foot = 12 inches; 1 yard = 3 feet = 36 inches; 1 mile = 5,280 feet.
  • 1 foot = 0.3048 meter = 30.48 centimeters exactly, so a foot is a little less than a third of a meter.
  • Square feet: 1 ft2 = 12 × 12 = 144 in2, and 1 yd2 = 9 ft2.
  • Heights are often written in feet and inches: 5 feet 6 inches is 66 inches, not 5.6 feet.
  • The foot is used for room sizes, heights of people and buildings, and altitudes in the United States.

Foot conversions

Foot conversions
inches = feet × 12
× 12
feet to inches
÷ 3
feet to yards
× 30.48
feet to centimeters

Going to a smaller unit (inches) gives a bigger number; going to a bigger unit (yards, miles) gives a smaller number.

Foot examples, step by step

Example 1: Feet to inches

Warm-up

A bookshelf is 5 feet tall. How tall is it in inches?

  1. Inches are smaller, so expect a bigger number: multiply by 12.
  2. 5 × 12 = 60.

Answer: The bookshelf is 60 inches tall.

Example 2: Inches to feet and inches

Core

A rope is 78 inches long. Write its length in feet and inches, and in feet as a decimal.

  1. 78 ÷ 12 = 6 remainder 6, so 6 feet 6 inches.
  2. As a decimal: 78 ÷ 12 = 6.5 feet, because 6 inches is half a foot.

Answer: The rope is 6 feet 6 inches, or 6.5 feet.

Example 3: Carpet in square yards

Test-style

A room is 15 feet by 12 feet. Carpet is sold by the square yard. How many square yards cover the floor?

  1. Area in square feet: 15 × 12 = 180.
  2. 1 square yard is 3 × 3 = 9 square feet.
  3. 180 ÷ 9 = 20.
  4. Trap: 180 ÷ 3 = 60 uses the length rule for an area.

Answer: The floor needs 20 square yards of carpet.

Common mistakes

✗ MistakeConverting 4 feet to inches: 4 ÷ 12 = 13.
✓ InsteadMultiply: 4 × 12 = 48 inches.

Each foot holds 12 inches, so the number of inches is larger than the number of feet.

✗ Mistake5 feet 6 inches = 5.6 feet.
✓ Instead6 inches is 612 = 0.5 foot, so 5 feet 6 inches = 5.5 feet.

A foot has 12 inches, not 10, so inches are not tenths of a foot.

✗ Mistake1 square foot = 12 square inches.
✓ Instead1 square foot = 12 × 12 = 144 square inches.

A square foot is 12 inches long and 12 inches wide, so both dimensions convert.

Not to be confused with

Footvs.Inch

An inch is one twelfth of a foot, about the width of a thumb. 1 ft = 12 in.

Footvs.Meter

A meter is the metric unit of length, a bit more than 3 feet: 1 m is about 3.28 ft.

Footvs.Yard

A yard is 3 feet, about the length of a long step. 1 yd = 3 ft = 36 in.

Quick check: 3 questions

Question 1 of 3

How many inches are in 4 feet?

Show answer and explanation

Answer: C. 4 × 12 = 48. A adds 4 and 12, B multiplies by 10, and D is the number of inches in one foot.

Question 2 of 3

How many feet are in 7 yards?

Show answer and explanation

Answer: A. 1 yard is 3 feet: 7 × 3 = 21. B multiplies by 12 (inches per foot), C adds 7 and 3, and D gives inches.

Question 3 of 3

A student is 5 feet 9 inches tall. What is that in inches?

Show answer and explanation

Answer: B. 5 × 12 + 9 = 60 + 9 = 69. A just writes the digits side by side, C adds 5 and 9, and D forgets the 9 inches.

Foot: frequently asked questions

How many feet are in a mile?

A mile is 5,280 feet. That is 1,760 yards, because 5,280 divided by 3 is 1,760. To change miles to feet, multiply by 5,280: half a mile is 2,640 feet. To change feet to miles, divide by 5,280: a 10,560-foot trail is 2 miles long.

How many centimeters are in a foot?

One foot is exactly 30.48 centimeters, or 0.3048 meter. That makes a foot a little shorter than a third of a meter. To change feet to centimeters, multiply by 30.48: 6 feet is 182.88 cm. For a quick estimate, use 30 cm per foot.

Practice and tools

Sources

  1. Common Core State Standards, Grade 4 Measurement and Data (4.MD.A.1)
  2. OpenStax, Prealgebra 2e, 7.5 Systems of Measurement
  3. NIST, U.S. Survey Foot (international foot = 0.3048 meter exactly)

Updated November 2026·Reviewed by the Effortless Math team·Standards: CCSS 2.MD.A.1, CCSS 4.MD.A.1, CCSS 5.MD.A.1

Cite this entry

Effortless Math Team. “Foot.” Effortless Math Dictionary. Updated November 2026. https://www.effortlessmath.com/math-dictionary/foot/

Flashcard

TermFootft · 12 inches
DefinitionA customary unit of length equal to 12 inches. 3 feet make a yard, 5,280 feet make a mile, and 1 ft = 30.48 cm.
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