How many cubic inches are in one cubic foot?

To understand why one cubic foot is equivalent to 1,728 cubic inches, we need to break down the measurement conversion process.

A cubic foot is defined as the volume of a cube with each side measuring one foot long. A foot is equivalent to 12 inches. Therefore, when calculating the volume of a cube where each side is 12 inches, the formula for the volume (V) of a cube is given by V = side × side × side.

In this case, since each side of the cube measures 12 inches: V = 12 inches × 12 inches × 12 inches = 12³ = 1,728 cubic inches.

This calculation confirms that one cubic foot contains 1,728 cubic inches. Understanding unit conversions and how they relate to volume is essential for various applications in mechanical technology, where precise measurements are critical.