Question

A box that has a length of 2x + 2 and width of x - 2 has a perimeter of 90 centimeters. If the height of the box is x, what is the volume of the box?

Answer 1

First find the value of X from the perimeter given
Perimeter = L*W
90 = 2 ((2x+2) + (x-2))
90 = 4x + 4 +4x - 4
90 = 8x
x = 11.25
Length = 2x + 2
2 (11.25) +2
=24.5
Width = x-2
11.25 -2
=9.25
h =x
= 11.25

Volume = L*W*H
24.5 * 9.25 * 11.25
2549.53 units^3