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 $2 per square foot, the material for the roofcosts $8 per square foot, and the material for the sides costs $4.50 per square foot. Find the dimensions of the most economical shed.The length of one side of the shed's base isft.The height of the shed is ft.

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 cub costs $8 per square foot, and the material for the sides costs $4.50 per square foot. Find the dimension The length of one side of the shed's base is The height of the shed is ft. ft.

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 cub costs $8 per square foot, and the material for the sides costs $4.50 per square foot. Find the dimension 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

7th Edition

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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Question

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 $2 per square foot, the material for the roof
costs $8 per square foot, and the material for the sides costs $4.50 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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