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    Maximizing enclosed volumes

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    An open topped box is constructed by removing a square from each corner of a flat piece of metal and folding up the resulting flaps. The piece of metal is 40 cm by 25 cm. What size square should be removed from each corner so as to maximize the enclosed volume of the box? What is that volume?

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    Solution Preview

    Let x be the side of square that should be removed from each corner.

    So the length of the box is 40-2x, width is 25-2x and the ...

    Solution Summary

    The solution gives detailed steps on finding maximum volume using technique of derivative.