$\"\"$

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The dimensions of the cardboard $\"\"$ in. by $\"\"$ in.

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Observe the figure:

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The height of the box is $\"\"$ in.

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Width of the box = width of the cardboard $\"\"$ $\"\"$ .

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Length of the box = length of the cardboard $\"\"$ $\"\"$ .

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$\"\"$

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Volume of the box = Length $\"\"$ Width $\"\"$ Height.

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Volume of the box = $\"\"$

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$\"\"$

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The volume of the box as a function of $\"\"$ is $\"\"$ .

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$\"\"$

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Domain :

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All possible values of $\"\"$ is the domain of the function.

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Volume of the box should be greater than zero.

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So $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$ , $\"\"$ and $\"\"$ .

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The domain of the function is $\"\"$ . $\"\"$

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The volume of the box as a function of $\"\"$ is $\"\"$ , $\"\"$ .