Question

if a rectangular prism has a volume of 550 cm squared and its dimensions are all tripled, then what would be the new volume?

Answer 1

The new volume would be 14,850cm³.

Explanation:

The volume of a rectangular prism is:

`V = l*w*h`

In which l is the length, w is the width and h is the height.

Dimensions tripled.

So
`l = 3l, w = 3w, h = 3h`

The modified volume will be:

`V_(m) = 3l*3w*3h = 27*l*w*h = 27V`

Volume of 550 cm³ before the dimensions are tripled.

This means that
`V = 550`

New volume:

`V_(m) = 27*550 = 14850`

The new volume would be 14,850cm³.