Question

Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 8 inches, and the hole had side lengths of 5 inches, how much wood was left after the hole was cut out?

A diagram of cube shaped block of wood with a square shaped  hole in the center.
Note: Figure is not drawn to scale.
A.
512 cubic inches
B.
387 cubic inches
C.
312 cubic inches
D.
39 cubic inches

Answer 1

387 in³

Explanation:

Volume of the solid 8" cube = 8³ = 512

The "empty space" volume of the 5" hole = 5³ = 125

Subtract the volume of the hole from the solid cube:

512 - 125 = 387 in³ (that's what is left)