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    Maximizing the Volume of an Open Top Box

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    The total surface area of a square based open-top rectangular box is 12 cm^2.
    Find the dimensions of the box of maximum volume.

    © BrainMass Inc. brainmass.com October 9, 2019, 8:55 pm ad1c9bdddf

    Solution Preview

    Suppose the base of the box is x cm and the height is y cm.
    Then the total surface area of the open box has four sides and one base. Each side ...

    Solution Summary

    The volume of a box is maximized using derivatives.