Question

A box shaped like a rectangular prism has a height of 17 in and a volume of 2,720 in³ The length is 4 inches greater than twice the width. What is the width of the box?

Answer 1

If the box has a height of 17 in, a volume of 2,720 in^3, and a length that is 4 inches greater then the width, then the box would have a width of 8 inches.

Answer 2

The volume of a rectangular prism is v = LxWxH. We have the height, H = 17, L = 4+2W and w as is. Multiply them each

(4+2W)(W)(17) = 2720

34w2 + 68w = 2720

34w2+68w−2720=0

You want to solve for w. Divide the equation by 34 getting:

w2+2w−80=0

Then factor the equation, (w+10)(w-8)=0 w=8

Then the weight is 8 inches