Question

The sum of the​ length, width, and height of a rectangular package is 126 inches. If the length is 2 inches longer than five times the height and the width is 2 inches shorter than three times the​ height, what is the volume of the​ package?

Answer 1

Explanation:

The length and the width are based on the height.

height: h

length: 5h + 2

width: 3h - 2

If the sum of those is 126, then:

h + 5h + 2 + 3h - 2 = 126 and

9h = 126 so

h = 14

length is 5(14) + 2 which is 72

width is 3(14) - 2 which is 40

The volume is found by multiplying the length times the width times the height:

14 * 72 * 40 = 40,320 inches cubed