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? (1 point) Responses –10 in –10 in 8 in 8 in 20 in 20 in 40 in
Let's set up the equations based on the given information:
Volume of a rectangular prism = length x width x height
Given: height = 17 in, volume = 2,720 in³
2,720 = (2w + 4) x w x 17
2,720 = 17(2w² + 4w)
2,720 = 34w² + 68w
0 = 34w² + 68w - 2,720
0 = w² + 2w - 80
0 = (w + 10)(w - 8)
Since the width cannot be negative, the width of the box is 8 in.