# The dimensions of a rectangular prism are given as 4.5 cm, 7.5 cm, and 21 cm. Find the change in volume of the prism if the measures of the width and length are doubled?

Apr 17, 2018

$2126.25 c {m}^{3}$

#### Explanation:

The Volume of a rectangular prism is calculated using the formula $V = l w h$
So you original equation would look like
$V = \left(4.5\right) \left(7.5\right) \left(21\right) = 708.75$ $c {m}^{3}$
Assuming that 4.5 and 7.5 are the width and length, then simply double these numbers and plug them back into the equation.
$V = \left(9\right) \left(15\right) \left(21\right) = 2835 c {m}^{3}$
The final step is to subtract the original volume from the new volume...
$32835 c {m}^{3} - 708.75 c {m}^{3} = 2126.25 c {m}^{3}$