Question

A cube has side length a. The side lengths are decreased to 40% of their original size. Write an expression in simplest form for the volume of the new cube in terms of a.

Answer 1

`V=a ^(3)` originally. Then you reduces the side lengths a so it will be
`V=( (2)/(5) a)^(3) = (8)/(125)a^(3)`
Just note that 40% is the same as 2/5.