# Prismatic Package

Calculus Level 2

It is given a prismatic package which sides measure $$x,y,z$$ such that its volume is $$108$$. Its surface (without the cover) is given by the equation: $$S = xy + 2yz + 2xz$$

Setting $$x,y,z$$ as variables, what is the value of $$x+y+z$$ if we want to minimize the surface area of the package?

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