Question

a rectangular prism has a volume of 1374.28 cubic inches.The prism is 9.4 inches wide and 17.2 inches long.What is the height of the prism?

Answer 1

The volume V of a prism can be found by:
The volume of a rectangular prism can be found through:
$V=lwh$
Where l is the length, w is the width, and h is the height.

The height can be found by rearranging the equation to:
$h= \frac{V}{wl}$

Take the volume (1374.28) and divide it by the length times the width (9.4*17.2=161.68).
1374.28/161.68= 8.5 inches is the height of the prism.