A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 891 cubic feet. The concrete for the base costs $4 per square foot, the material for the roof costs $7 per square foot, and the material for the sides costs $4.50 per square foot. What are the dimensions for the most economical shed?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
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A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 891 cubic feet. The concrete for the base costs $4 per square foot, the material for the roof costs $7 per square foot, and the material for the sides costs $4.50 per square foot. What are the dimensions for the most economical shed?

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