Question

A rectangular prism has a length of 34 inches and a width of 12 inches. The volume of the prism is 2132 cubic inches. Find the height of the prism. Write your answer as a mixed number in simplest form.

Answer 1

The height of the rectangular prism is 5.22 inches.

Step-by-step explanation:

To find the height of the rectangular prism, we can use the formula for volume of a rectangular prism, which is length x width x height. Given that the length is 34 inches, the width is 12 inches, and the volume is 2132 cubic inches, we can substitute these values into the formula:

2132 = 34 x 12 x height

Divide both sides of the equation by (34 x 12):

height = 2132 / (34 x 12)

height = 2132 / 408

height = 5.22 inches

The height of the rectangular prism is 5.22 inches.