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?

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Mathematics

Guest

20 October, 17:19

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?

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Freddy Pitts · 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