Mathematics
Mathematics, 12.10.2020 01:01, kortetsosie4576

A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a standard sheet of 8.5 inch by 11 inch paper, and then folding up and securing the resulting 'flaps' to be the sides of the box. Let x represent the varying side length of the square cutouts in inches. Let l , w , and h represent the varying length, width and height of the box (in inches), respectively. Note that the width and length dimensions are such that w < l . Let V represent the varying volume of the box in cubic inches. Write formulas for length, width, and volume of the box, each in terms of x .

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A designer is creating various open-top boxes by cutting four equally-sized squares from the corners...

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