A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 125 cubic feet. The concrete for the base costs ​$2 per square​ foot, the material for the roof costs $3 per square​ foot, and the material for the sides costs ​$2.50 per square foot. Find the dimensions of the most economical shed. The length of one side of the​ shed's base is _____ft. The height of the shed is _______ft.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 37E: Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat...
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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 125 cubic feet. The concrete for the base costs ​$2 per square​ foot, the material for the roof costs $3 per square​ foot, and the material for the sides costs ​$2.50 per square foot. Find the dimensions of the most economical shed.

The length of one side of the​ shed's base is _____ft.
The height of the shed is _______ft.
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