Question

The volume, V, of a rectangular prism is determined using the formula, where / is the length, w is the width, and his 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

`\large\boxed{width=4.5\ in}`

Explanation:

`V=lwh\qquad\text{divide both sides by}\ lh\\\\(V)/(lh)=(wlh)/(lh)\\\\w=(V)/(lh)\\\\\text{We have}\\\\V=138.24\ in^3\\h=9.6\ in\\l=3.2\ in\\\\\text{Substitute:}\\\\w=(138.24)/((3.2)(9.6))=(138.24)/(30.72)=4.5\ in`