SOLUTION: an open box is to be constructed from a square piece of sheet metal by removing a square side of 5 feet from each corner and turning up the edges. If the box is to hold 720 cubic f

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Question 1095553: an open box is to be constructed from a square piece of sheet metal by removing a square side of 5 feet from each corner and turning up the edges. If the box is to hold 720 cubic feet, what should the dimensions of the sheet metal be?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Volume = 5*(x-10)*(x-10) = 720.   ====>


%28x-10%29%5E2 = 720%2F5 = 144  ====>


x-10 = sqrt%28144%29 = 12  ====>


x = 22 feet.


Answer.  Dimensions of the square metal should be 22 ft x 22 ft.


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Sheet is square shape, x for each side.

5%28x-2%2A5%29%28x-2%2A5%29=720
-
%28x-10%29%5E2=2%2A72
x%5E2-20x%2B100-144=0
x%5E2-20x-44=0
%28x-22%29%28x%2B2%29=0
The solution which makes sense is highlight%28x=22%29, for the dimension of length and of the width.