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    Optimization problem

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    Here is the word problem:
    A mass of clay of volume 432in^3 is formed into two cubes. What is the minimum possible total surface area of the two cubes? What is the maximum?

    I have determined the following:
    Surface Area (SA) = 6a^2
    Volume of a cube (V) = a^3

    I am not sure how to setup the formula to determine the asked for values to get to the derivative part of the problem. Any help would be greatly appreciated.

    © BrainMass Inc. brainmass.com October 9, 2019, 6:34 pm ad1c9bdddf
    https://brainmass.com/math/optimization/optimization-problem-91807

    Solution Preview

    Hi, here is the solution...

    When you form a clay with two cubes, definitely the shape of clay will be rectangular.

    Volume of clay is given by 432 in^3

    l*w*h = ...

    Solution Summary

    This solution is comprised of a detailed explanation to answer what is the minimum possible total surface area of the two cubes.

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