Prismatic Package

Calculus Level 3

A prismatic package has side lengths x,y,x,y, and zz and volume 108.108. Its surface area SS (without the cover) is given by S=xy+2yz+2xz. S = xy + 2yz + 2xz.

What is the value of x+y+zx+y+z that minimizes S?S?

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