A storage shed is to be built in the shape of a box with square base. It is to have a volume of 539 cubic feet. The concrete for the base costs $5 per square foot, the material for the roof costs $6 per square foot, and the material for the sides costs $3.50 per square foot. Find the dimensions of the most economical shed. The length of one side of the shed's base is The height of the shed is ft. ft.

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
Section9.1: 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 539 cubic feet. The concrete for the base costs $5 per square foot, the material for the roof costs $6 per square foot,
and the material for the sides costs $3.50 per square foot. Find the dimensions of the most economical shed.
The length of one side of the shed's base is
The height of the shed is
ft.
ft.
Transcribed Image Text:A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 539 cubic feet. The concrete for the base costs $5 per square foot, the material for the roof costs $6 per square foot, and the material for the sides costs $3.50 per square foot. Find the dimensions of the most economical shed. The length of one side of the shed's base is The height of the shed is ft. ft.
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