Question 817309
volume (V) = 132
V = 132 = (2w -3) * w * 3
132 = 6w^2 -9w
put equation into standard form
6w^2 -9w -132 = 0
use quadratic formula to solve
w = (-(-9) + square root( (-9)^2 -4*6*(-132))) / (6*2)
w = (-(-9) - square root( (-9)^2 -4*6*(-132))) / (6*2) 
w = 5.5 and -4
w = 5.5 is the solution, therefore
l = 2*(5.5) -3 = 8 so,
length = 8 inches, width = 5.5 inches, height = 3 inches
check answer,
8 * 5.5 *3 = 132
132 = 132
answer checks