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Maximum surface area of two cubes by maximizing a function

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

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I have shown how to find the maximum and minimum total surface areas of two cubes for a given total volume.

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Find surface of two cubes given the following

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

Let the sides of the two cubes be x and y. ...

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