Question

A ball inside of a cube has a volume of 524 cubic inches. If each side of the cube measures 12.75 inches. what is the volume of air inside the cube? (Round to the nearest tenth.)

1) 1548.7 cubic inches
2) 2072.7 cubic inches
3) 2596.7 cubic inches
4) 1048.0 cubic inches

Answer 1

1548.7 in³

Explanation:

Given that :

Volume of ball = 524 in³

Volume of a cube = s³

Where, s = 12.75 inches

Volume of cube = 12.75 * 12.75 * 12.75 = 2072.671875 in³

The volume of air inside the cube :

(volume of cube - volume of ball)

(2072.671875 - 524) in³

= 1548.671875 in³

= 1548.7 in³ (nearest tenth)