SOLUTION: The area of the top of a rectangular box is 324 square inches, the area of the front of the box is 135 square inches, and the area of the end is 60 square inches. What is the volu

Algebra ->  Volume -> SOLUTION: The area of the top of a rectangular box is 324 square inches, the area of the front of the box is 135 square inches, and the area of the end is 60 square inches. What is the volu      Log On


   

Question 423121: The area of the top of a rectangular box is 324 square inches, the area of the front of the box is 135 square inches, and the area of the end is 60 square inches. What is the volume of the box?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the top of a rectangular box is 324 square inches, the area of the
front of the box is 135 square inches, and the area of the end is 60 square inches.
What is the volume of the box?
:
Find L, W, H
:
L*W = 324
L*H = 135
W*H = 60
:
W = 324%2FL
and
H = 135%2FL
:
W*H = 60
Substitute for W and H
324%2FL * 135%2FL = 60
43740%2FL%5E2 = 60
60L^2 = 43740
L^2 = 43740%2F60
L^2 = 729
L = sqrt%28729%29
L = 27 inches
then
W = 324%2F27
W = 12 inches
and
H = 60%2F12
H = 5
;
Find the vol: 27 * 12 * 5 = 1620 cu/inches
:
:
You can check this by finding the areas of each side using these values.