There are 1728 cubic inches in a cubic foot.

To calculate this, we need to use the conversion factor:

1 cubic foot = 12 inches (length) x 12 inches (width) x 12 inches (height)

This gives us the volume of a cubic foot, which is 1728 cubic inches.

We can also understand this by considering the definition of a cube. A cube is a three-dimensional shape with equal sides. In a cubic foot, each side would measure 12 inches (since 12 x 12 x 12 = 1728).

Therefore, there are 1728 cubic inches in a cubic foot.