SOLUTION: An open box is to be constructed from a square piece of sheet metal by removing a square of side 3 feet from each corner and turning up the edges. If the box is to hold 108 cubicâ€
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Question 1159109: An open box is to be constructed from a square piece of sheet metal by removing a square of side 3 feet from each corner and turning up the edges. If the box is to hold 108 cubic​ feet, what should be the dimensions of the sheet​ metal?
What is the length of a side of the square piece of sheet​ metal?
If 3 ft squares are cut from the corners, then the depth of the resulting box must be 3 feet, hence the area of the bottom of the box must be the volume divided by 3. Then the measure of the width of the box, given that the base must be square because you started with a square piece of metal, is the square root of the volume divided by 3. Then, before the edges were turned up, the amount that remained to turn up was 3 feet plus 3 feet less than the original dimensions of the square sheet of metal.
John
My calculator said it, I believe it, that settles it
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