Question: Use optimization to design a box. The box will be a cube, so that all edges have the same length. What is the length of

Use optimization to design a box. The box will be a cube, so that all edges have the same length. What is the length of one edge of the optimal-designed cube if the benefit of the cube is $36 times the cube root of its volume and the cost is $2 time its surface area? (length units are meters)

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