Explore BrainMass
Share

Explore BrainMass

    Maximizing the Volume of an Open Top Box

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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
    https://brainmass.com/math/geometry-and-topology/maximizing-the-volume-of-an-open-top-box-166773

    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.

    $2.19