volume_mute

How Many Cubic Inches Are in 1 Cubic Foot?

publish date2026/05/18 12:18:45.976037 UTC

volume_mute

A cubic foot is a cube with each side measuring 1 foot. Since 1 foot = 12 inches, each side also measures 12 inches. How many cubic inches are contained in 1 cubic foot?

1 ft = 12 in12 in12 in12 in12×12×12 = ?

Correct Answer

1,728 in³

Explanation

Each level of the cubic foot contains 12 × 12 = 144 cubic inches, and the cubic foot has 12 levels. Using multiplication to count the total number of cubic inches:

\[12 \times 12 \times 12 = 1{,}728\]

There are 1,728 cubic inches in 1 cubic foot. Thus, \(1 \text{ ft}^3 = 1{,}728 \text{ in}^3\).

Reference

Mathematics for college students


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