SOLUTION: A cereal box is 2 inches wide. The height of the box is 3 inches more than the length. If the volume is 216in^3 , how tall is the box ?

Algebra ->  Square-cubic-other-roots -> SOLUTION: A cereal box is 2 inches wide. The height of the box is 3 inches more than the length. If the volume is 216in^3 , how tall is the box ?       Log On


   



Question 1013761: A cereal box is 2 inches wide. The height of the box is 3 inches more than the length. If the volume is 216in^3 , how tall is the box ?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
V = LWH = 216
Here W = 2 and H = L + 3...now plugging in we get
L(2)(L+3) = 216
2L^2 + 6L - 216 = 0
L^2 + 3L - 108 = 0
(L + 12)(L - 9) = 0
L = 9 in
H = 12 in
W = 2 in