SOLUTION: A rectangular box with no top is to be made by cutting squares with side length 5 inches from each corner of a square pience of cardboard. If the box must have a volume of 150in s

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Question 688878: A rectangular box with no top is to be made by cutting squares with side length 5 inches from each corner of a square pience of cardboard. If the box must have a volume of 150in squared, then what must the dimensions of the square piece of cardboard be? (round to the neareset tenth of an inch)
Answer by solver91311(24713) About Me  (Show Source):
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Volume is in cubic inches, not square inches. You can't make a box just by cutting the corners out of a square; you have to fold up the sides. Given that, you divide by to determine that the area of the base of the box must be . Since you have cut squares out of the corners of a square, the shape of the base of the manufactured box must also be square. Therefore the measure of each side of the base is . Since there is a square cut out of each corner of the original square, the original dimension has to be greater than the measure of the side of the base of the manufactured box. You can do your own arithmetic.

John

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