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?
:
Find L, W, H
:
L*W = 324
L*H = 135
W*H = 60
:
W = {{{324/L}}}
and
H = {{{135/L}}}
:
W*H = 60
Substitute for W and H
{{{324/L}}} * {{{135/L}}} = 60
{{{43740/L^2}}} = 60
60L^2 = 43740
L^2 = {{{43740/60}}}
L^2 = 729
L = {{{sqrt(729)}}}
L = 27 inches
then
W = {{{324/27}}}
W = 12 inches
and
H = {{{60/12}}}
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.