Abox shaped like a rectangular prism has a height of 17 in and a volume of 2720 in^3. the length is 4 inches greater than twice the width. what is the width of the box

8 inches

Step-by-step explanation:

You want to find the width (w) in inches such that ...

V = LWH

2720 = (2w+4)·w·17 . . . . . . . . . . fill in the given values

80 = (w+2)(w) = w^2 + 2w . . . . . divide by 34

81 = (w +1)^2 . . . . . . . . . . . . . . . . complete the square

9 = w+1 . . . . . . square root (we only care about the positive solution)

8 = w . . . . . . . . subtract 1

The width of the box is 8 inches.

step-by-step explanation:

the answer is 128