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    Maximizing the Volume of a Box

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    A box is made from a sheet of metal that is 8 meters by 10 meters, by removing a square from each corner of the sheet and folding up the sides. Find the width of the square to removed in order to have a box of maximum volume.

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    Solution Preview

    Suppose the square removed from each corner has size x meters.
    Then after the squares are removed, the base of the box ...

    Solution Summary

    The volume of a box is maximized using derivatives.