SOLUTION: An open box is to be constructed from a square piece of sheet metal by removing a square of side 4 feet from each corner and turning up the edges. If the box is to hold 576 cubicâ€
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Question 1141821: An open box is to be constructed from a square piece of sheet metal by removing a square of side 4 feet from each corner and turning up the edges. If the box is to hold 576 cubic​ feet, what should be the dimensions of the sheet​ metal? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Draw this
square side is x
side of box is x-8 (2 4' sections are cut out)
height is 4
volume is (x-8)^2*4
=(x^2-16x+64)*4=576
or x^2-16x+64=144, dividing everything by 4
x^2-16x-80=0
(x-20)(x+4)=0
only positive root is side of square is 20' ANSWER
dimensions of box are 12*12*4
