Question

An in-ground pond has the shape of a rectangular prism. the pond has a height of 24 inches and a volume of 33,000 cubic inches. the pond's length is 2 times its width. find the length and width of the pond. round your answers to the nearest tenth.

Answer 1

We are given with a rectangular prism which has a formula for volume:
Volume = W*H*L

There were values given in the problem such as:
H = 24 inches
Volume = 33, 000 in³
L =  2x
W = x

Solving for x, W, and L:
33000 = 24 * 2x*x
33000/48 = x²
x = √687.5
x = 26.22

Therefore, the length is 26.22 inches and the width is 52.44 inches.