Cubic Feet to Cubic Inches Conversion

Worked Volume Conversion Example

Converting cubic feet to cubic inches is a common English units conversion problem. Here is the conversion factor and a worked example.

Conversion Factor

1 cubic foot = 1728 cubic inches

1 cubic inch = 0.000578704 cubic feet

Simple Example

Convert 3.5 cubic feet into cubic inches. When using a conversion factor, be sure the unit you are changing from gets cancelled out.

You can multiply by the conversion factor:

3.5 cubic feet x 1728 cubic inches per cubic foot = 6048 cubic inches

Worked Example

You measure a box and find it is 2 foot long, 1 foot high, and 0.5 feet deep. The first step is to calculate the volume in cubic feet. The volume of the box is length x width x height so the volume of the box is:

2 x 1 x 0.5 = volume in cubic feet

1 cubic foot

Now, to convert this to cubic inches, you know there are 1728 cubic inches in 1 cubic foot:

1 cubic foot x (1728 cubic inches / 1 cubic foot) = volume in cubic inches

1 cubic foot x 1728 cubic inches/foot = volume in cubic inches

1728 cubic inches

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Your Citation
Helmenstine, Anne Marie, Ph.D. "Cubic Feet to Cubic Inches Conversion." ThoughtCo, Mar. 19, 2017, Helmenstine, Anne Marie, Ph.D. (2017, March 19). Cubic Feet to Cubic Inches Conversion. Retrieved from Helmenstine, Anne Marie, Ph.D. "Cubic Feet to Cubic Inches Conversion." ThoughtCo. (accessed May 27, 2018).