Question

A box has a volume of 128 feet3. The length is twice the width and the height is the same as the width. What are the dimensions of the box?

Answer 1

W = 4 ft H=4 ft L=8 ft

Explanation:

Suppose the box is a rectangular box and its volume is 128 cubic feet

W: Wide L: Length H:Height

H=2W

H=W

Box volume: H*W*L=2W*W*W=2W³

2W³ = 128

W³ = 64

W = 4 ft H=4 ft L=8 ft

Answer 2

Let the width of the box = X

The height would also be X

The length would be 2X

Volume = L x W x H

128 = X * X *2x

Simplify:

128 = x^2 * 2x

128 = x^3 * 2

Divide both sides by 2:

x^3 = 64

Take the cubic root of both sides:

X = 4

The width = 4 feet

The height = 4 feet

The length = 8 feet.