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    Maximizing the Volume of an Open Top Box

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    A square sheet of cardboard 24 inches on a side is made into a box by cutting squares of equal size from each corner of the sheet and folding the projecting flaps into an open-top box. What should be the length of the edge of any of the cutout squares to give the box maximum volume?

    4 inches
    4.5 inches
    5.5 inches
    6.5 inches
    7 inches
    7.5 inches
    8 inches
    none of these

    © BrainMass Inc. brainmass.com May 20, 2020, 3:42 pm ad1c9bdddf
    https://brainmass.com/math/linear-transformation/maximizing-volume-open-top-box-139456

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    A square sheet of cardboard 24 inches on a side is made into a box by cutting squares of equal size from each corner of the sheet and folding the projecting flaps into an open-top ...

    Solution Summary

    The maximum volume of an open-top box is found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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