Question

A cube has side length a. The side lengths are decreased to 50% of their original size. Write an expression in simplest form for the volume of the new cube in terms of a.

Answer 1

V = a³/8

Explanation:

The volume of the original cube is the cube of the side length:

V = a³

When the side length is reduced to half its former value, the new volume is ...

V = (a/2)³ = a³/2³

V = a³/8 . . . . volume of the new cube