Question

Lisa bought a tank for her hermit crab. The tank can hold 1,331 cubic inches of water and includes a top. The base fo the aquarium is a square. The height of the aquarium is 11 inches. a. What is the length of each side of the base of the tank

Answer 1

11 in

Explanation:

All we care about here is volume, not area. So the top is irrelevant.

The volume of a rectangular tank with a square bottom, b, and height, h, is

V = b²h = 1,331 in³ 1,331 in³

Then b² = area of the base = ---------------- = 121 in²

11 in

The square of the length of any one side of the base is 121 in².

Taking the square root of this yields 11 in.

The length of each side of the base is 11 in.