Question

An aquarium can be modeled as a right rectangular prism and it can hold 1120 cubic inches of water when it is full. Its length is 20 in and width is 8 in. Find the height of the aquarium in inches. Round your answer to the nearest tenth if necessary.

Answer 1

Answer: Let's use the formula for the volume of a rectangular prism to solve for the height of the aquarium:

V = lwh

where V is the volume, l is the length, w is the width, and h is the height.

We are given that the volume of the aquarium is 1120 cubic inches, the length is 20 inches, and the width is 8 inches. So we can plug in these values and solve for the height:

1120 = 20 * 8 * h

Simplifying the right-hand side:

1120 = 160h

Dividing both sides by 160:

h = 7

So the height of the aquarium is 7 inches.

Explanation: