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 x inches.
Since the length is 4 inches greater than twice the width, the length is (2x + 4) inches.
Given that the volume of the rectangular prism is 2,720 in^3, we can use the formula for volume of a rectangular prism:
Volume = length * width * height
2,720 = (2x + 4) * x * 17
2,720 = 34x^2 + 68x
34x^2 + 68x - 2,720 = 0
Dividing by 2:
17x^2 + 34x - 1,360 = 0
Solving this quadratic equation, we find that x equals 8 inches.
Therefore, the width of the box is 8 inches.