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A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a 14-inch by 17-inch sheet of cardboard, and then

A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a 14-inch by 17-inch sheet of cardboard, and then folding up and securing the resulting 'flaps' to be the sides of the box.

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Let x represent the varying length of the side of the square cut-out in inches. Let l,w, and h represent the varying length, width and height of the box in inches. Let V represent the varying volume of the box in cubic inches. (The initial length of the cardboard was 17" and the initial width of the cardboard was 14".)

Fill in the table with the missing values. If the situation is impossible, put R in the entry boxes of that row.

14" | 17" I I I length of box width of box the cutout height of box

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