SOLUTION: The U.S Postal Service requires that any box sent by Priority Mail have length plus girth totaling no more than 108 in. the maximum volume that meets this condition is contained by

Question 156384: The U.S Postal Service requires that any box sent by Priority Mail have length plus girth totaling no more than 108 in. the maximum volume that meets this condition is contained by a box with a square end 18 in. on each side. What is the length of the box? What is the maximum volume?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
If the square ends of the of the box are 18 inches on each side, then the girth of the box is 4*18 = 72 inches.
To meet the requirements for priority mail, the girth (72 inches) plus length (L) must be no more than 108 inches, so you can write:
Subtract 72 from both sides.
inches.
The length is no more than 36 inches.
The maximum volume of such a box would be:
Where: B = area of the base (or end) of the box, and this is:
sq.in., so the maximum volume is:

Cubic inches.
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