Outside of the United States, the common paper size is called A4 and measures 21 by 29.7 centimeters. Let  be the volume in cubic centimeters of a box made from A4 paper by cutting out squares of side length  in centimeters from each corner and then folding up the sides. What is a reasonable domain for  in this context? Explain or show your reasoning.

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Outside of the United States, the common paper size is called A4 and measures 21 by 29.7 centimeters. Let  be the volume in cubic centimeters of a box made from A4 paper by cutting out squares of side length  in centimeters from each corner and then folding up the sides.

What is a reasonable domain for  in this context? Explain or show your reasoning.

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