$\"\"$

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Let $\"\"$ be the side of the square ends and $\"\"$ be the length of the package.

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The volume of the rectangular box is $\"\"$ .

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Find the volume function in terms of $\"\"$ .

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Grith + Length $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$

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Differentiate on each side with respect to $\"\"$ .

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$\"\"$ .

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Find the critical numbers by equating derivative to zero.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ is maximum when $\"\"$ and $\"\"$ .

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$\"\"$

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The dimensions are $\"\"$ and $\"\"$ .