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

let
a--------> original side length side of a cube

we know that
[volume of a original cube]=a³

If the side lengths are decreased to 50% of their original size
then
[volume of a new cube]=(a/2)³----> a³/8

the answer is
the volume of the new cube is a³/8