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

Answer:

The new volume would be 14,850cm³.

Step-by-step 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.