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

2. A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 490 cubic feet. The concrete for the base costs ​$7 per square​ foot, the material for the roof costs ​$3 per square​ foot, and the material for the sides costs ​$3.50 per square foot. Find the dimensions of the most economical shed.


a. The length of one side of the​ shed's base is...

b. The height of the shed is

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