Question: A box with a square base and open top is to have volume 162,000 cm3. The material for the bottom costs $3 per square centimeter

A box with a square base and open top is to have volume 162,000 cm3. The material for the bottom costs $3 per square centimeter while the material for the four sides costs $2 per square centimeter. Find the dimensions of the least expensive box that can be built. [Realize that the solution of an applied optimization problem is the presentation rather than just an

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