Question

The volume, V, of a rectangular prism is determined using the formula , where l is the length, w is the width, and h is the height of the prism. Carltren solves for w and writes the equivalent equation w = . Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches?

Answer 1

The volume, V, of a rectangular prism is determined using the formula

V= l x w x h.

Carltren solves for w and writes the equivalent equation w =$\frac{V}{lxh}$

Substituting v=f 138.24 cubic inches, h= 9.6 inches, and l= 3.2 inches In the formula for w  we have:

$w=\frac{138.24}{9.6x3.2}=\frac{138.24}{30.72}=4.5.$

The width of a rectangular prism is 4.5 inches.