The width of a rectangular prism is w centimeters. The height is 2 centimers less than the width. The length is 4 centimeters more than the width. If the volume of the prism is 8 times the measure of the length, find the dimensioon of the prism.

Answer 1

V = Lwh
w = width
w - 2 = height
w + 4 = length
8(w + 4) = V

8(w + 4) = w(w - 2)(w + 4)

Solve for w

Answer 2

w=2