Converting cubic feet to cubic inches is a common English unit conversion problem. Here is the conversion factor as well as 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 canceled 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