Question

n aquarium holding African cichlids is 6 inches higher than it is wide. Its length is 33 inches, and its volume is 9240 cubic inches. What is the length and width?

Answer 1

Answer: Height = 20 inches

Width = 14 inches

Step-by-step explanation:

The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as

Volume = LWH

Where L,W and H represents the length, width and height of the box.

The aquarium holding African cichlids is 6 inches higher than it is wide. It means that

H = W + 6

Its length is 33 inches, and its volume is 9240 cubic inches. It means that

9240 = 33W(W + 6)

9240/33 = W(W + 6)

280 = W² + 6W

W² + 6W + (6/2)² = 280 + (6/2)²

(W + 3)² = 280 + 9 = 289

Taking square root of both sides, it becomes

W + 3 = √289 = 17

W = 17 - 3

W = 14

H = W + 6 = 14 + 6

H = 20