How to Convert Inches to Cubic Feet

By Axl J. Amistaadt
Use a calculator to tackle logarithm and exponent problems in Algebra 2.
keypad image by vashistha pathak from

The cubic foot is a non-metric unit for measuring volume. The definition of a cubic foot is the volume of a cube with sides that measure 1 linear foot. As you make the mathematical conversion, remember that 1 cubic foot equals 1,728 cubic inches.

The Formula

Multiply the length times the width times the height (sometimes referred to as depth) of any three-dimensional figure. Picture a cube in your mind. This cube measures 1 linear foot in length, 1 linear foot in width and 1 linear foot in height.

Convert the feet to linear inches. A single linear foot converts to 12 linear inches. The cube in your mind's picture measures 12 inches wide, 12 inches long and 12 inches deep.

Calculate the volume of your cube in cubic inches by multiplying the length x the width x the depth. Therefore, 12 inches x 12 inches x 12 inches equals 1,728 cubic inches (or 1,728 inches cubed).

Express your equation: 12³ = 1,728, or 12 x 12 x 12 = 1,728.

Test-drive the Formula

Give your cube some dimensions so that you can try this out. Use this example: the three sides of the cube measure 100 linear inches, 30 linear inches and 40 linear inches. To get the figure for total linear inches, multiply 100 x 30 x 40. Your total comes to 120,000 total linear inches.

Divide the total inches (120,000) by the number of cubic inches in a cubic foot (1,728). This is expressed like this: 120,000 / 1,728 = 69.444444 cubic inches.

Round that final number down to two decimal places if you want, so your final calculation for the number of cubic inches in your cube is 69.44.

Divide 69.44 by 12 (the number of inches in a foot). Expressed like this, 69.44 / 12 = 5.7866667 cubic feet.

Round that number down to 2 decimal places if you want, so 69.44 cubic inches equal 5.78 cubic feet.