Question

A cube has a volume of 125 cm cubed. If each of its edges is reduced by 3, by what percent is the volume of the cube reduced?

Answer 1

The percent of the volume of the cube reduced is
`6.4\%`

Explanation:

The length side of the original cube is equal to

`b^(3) =125\ cm{3}\\b=5\ cm`

The length side of the reduced cube is equal to

`b=5-3=2\ cm`

The volume of the reduced cube is equal to

`V=2^(3) =8\ cm^(3)`

To find the percent of the volume of the cube reduced, apply proportion

`(100\%)/(125)= (x\%)/(8)\\ \\x=8*100/125\\ \\x=6.4\%`