A storage shed is to be built in the shape of a box with a square

  

A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 810 cubic feet. The concrete for the base costs $4 per square​ foot, the material for the roof costs $6 per square​ foot, and the material for the sides costs $4.50 per square foot. Find the dimensions of the most economical shed.

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