Question: A storage company must design a large rectangular container with a square base. The volume is 12168ft312168ft3. The material for the top costs $12$12 per

A storage company must design a large rectangular container with a square base. The volume is 12168ft312168ft3. The material for the top costs $12$12 per square foot, the material for the sides costs $13$13 per square foot, and the material for the bottom costs $6$6 per square foot. Find the dimensions of the container that will minimize the total cost of material.

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