Show that if the piece of cardboard is k centimeters on, Engineering Mathematics

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Show that if the piece of cardboard is k centimeters on

Volume

(a) A square piece of cardboard 36 centimeters on a side is to be formed into a rectangular box by cutting squares with length x from each corner and folding up the sides. What is the maximum volume possible for the box?

(b) Show that if the piece of cardboard is k centimeters on each side, cutting squares of size ky6 and folding up the sides gives the maximum volume.

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Engineering Mathematics: Show that if the piece of cardboard is k centimeters on

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Engineering Mathematics: Show that if the piece of cardboard is k centimeters on

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