By cutting away identical squares from each corner of a rectangular piece of cardboard and folding...

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By cutting away identical squares from each corner of arectangular piece of cardboard and folding up the resulting flaps,an open box may be made. If the cardboard is 15 in. long and 7 in.wide,

(a) Find the dimensions (in inches) of the box that will yieldthe maximum volume. (Round your answers to two decimal places ifnecessary.)

(b) Which theorem did you use to find the answer?

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