A box shaped like a rectangular prism has a height of 17 in. and a volume of 2,720 in.³. The length is 4 inches greater than twice the width. What is the width of the box?
Let the width of the box be represented by x inches.
Since the length is 4 inches greater than twice the width, the length can be represented as 2x + 4 inches.
The height of the box is given as 17 inches.
The volume of a rectangular prism is given by the formula: Volume = length x width x height
Given that the volume is 2,720 in.³, we can set up the equation:
(2x + 4) x x x 17 = 2,720
(2x + 4) x x x 17 = 2,720
(34x) (17) = 2,720
x = 2.5
Therefore, the width of the box is 2.5 inches.