All boxes with a square base and a volume of 50 ft 3 have a surface area

Question:

All boxes with a square base and a volume of 50 ft³ have a surface area given by S(x) = 2x² + 200/x, where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0, ∞). What are the dimensions of the box with minimum surface area?

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