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A closed box with a square base is to have a volume of 8 81,000 cm cubed cm3. The material for the top and bottom

A closed box with a square base is to have a volume of 881,000 cm cubed cm3. The material for the top and bottom of the box costs $4.50 per square centimeter, while the material for the sides costs $1.50 per square centimeter. Find the dimensions of the box that will lead to the minimum total cost. What is the minimum total cost?

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