A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 1458 cubic feet. The concrete for the base costs $3 per square foot, the material for the roof costs $7 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
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 24E: A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of...
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2.6.17-BE
A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 1458 cubic feet. The concrete for
the base costs $3 per square foot, the material for the roof costs $7 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.
st,
Enter your answer in the edit felds and then click Check Answer
All parts showing
Clear All
Check Answer
957 PM
13
3/21/2021
Transcribed Image Text:2.6.17-BE A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 1458 cubic feet. The concrete for the base costs $3 per square foot, the material for the roof costs $7 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. st, Enter your answer in the edit felds and then click Check Answer All parts showing Clear All Check Answer 957 PM 13 3/21/2021
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