Calculus 10th Edition
Let be the length of each side of the base, be the height , and be the volume.
Since the rectangular solid has a square base, volume of the solid is .
Find the function in terms of .
Surface area .
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Solve for .
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Substitute in .
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Differentiate on each side with respect to .
Find the critical numbers by equating derivative to zero.
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Substitute in .
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is maximum when and .
The dimensions are .
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