Help with Algebra

Question

The volume of a rectangular box is 125 ft³. If the width is 9 times longer than the height, and the length is 3 times longer than the height, find the dimensions of the box. Define your variables then show all work using the equation editor. Write a sentence that explains your answer.

Answer 1

The volume of a rectangular box is length x width x height.

Let x = height

width = 9x

length = 3x

 

V = (3x)(9x)(x) = 125

27x³ = 125

x³ = 125/27

x = 5/3

 

The height of the box is 5/3 ft, the width of the box is 15 ft, and the length of the box is 5 ft