Solved: What is minimum possible total surface area of two cubes, Mathematics

What is minimum possible total surface area of two cubes

Problems:

Optimization problem

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?

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

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.

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Mathematics: What is minimum possible total surface area of two cubes

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