Question

A swimming pool is in the shape of a rectangular prism. It holds 3,584 cubic feet of water. If the base measures 28 feet by 16 feet, how deep is the pool ?

Answer 1

The pool is 8 feet deep

Explanation:

In this question, we are asked to calculate the depth of a pool given the shape as being a rectangular prism and the dimension of the base rectangle including the value of the volume.

Mathematically, for a rectangular prism, the volume is calculated as ;

V = L * W * H

where l, w and h are length, width and depth/height respectively.

now let’s substitute the values in the equation to get the depth.

This means;

3,584 = 28 * 16 * H

H = 3,584/(28 * 16)

H = 3,584/448

H = 8