Question

A rectangular prism has a length of 45 inch and a width of 13 inch. The volume of the prism is 3245 cubic inch. Find the height of the prism. Write your answer as a mixed number in simplest form.

Answer 1

The formula for volume of a rectangular prism is V = L x W x H

We can replace the letters in the formula with the given information to solve for the missing height.

3245 = 45 x 13 x H

Simplify the right side:

3245 = 585 x H

To find H, divide both sides by 585:

H = 3245 / 585

H = 5 320/585 = 5 64/117