SOLUTION: I have a 9 by 13 inch piece of paper. I intend to cut all four corners from the paper, and fold up the corners to make an open topped box. If I want to make the largest volume poss

Question 827289: I have a 9 by 13 inch piece of paper. I intend to cut all four corners from the paper, and fold up the corners to make an open topped box. If I want to make the largest volume possible, what size should the corners be and what will the resulting volume be?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I have a 9 by 13 inch piece of paper. I intend to cut all four corners from the paper, and fold up the corners to make an open topped box. If I want to make the largest volume possible, what size should the corners be and what will the resulting volume be?
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Let each of the squares have side "x".
Volume = x(9-2x)(13-2x)
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Find the derivative; Find the roots of the derivative; determine
which root value results in a maximum Volume value.
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Cheers,
Stan H.
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