Question

A box has a volume of 135 feet3. The length is same as the height, and the width is 5 times the length. What are the dimensions of the box?

Answer 1

Let the length be x ft, width=5x ft, height=x ft
thus the volume will be:
volume=length*width*height
thus
135=x×x×5x
135=5x³
solving for x we get:
27=x³
getting the cube root of both sides:
∛27=x³
x=3 ft
thus
length=3 ft, height=3ft, width=3×5=15 ft