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.

Given: - A storage shed is to be built in the shape of a box with a square base. it is to have a…

Answered: A storage shed is to be built in the…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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3. Professor Martinez wants to make a rectangular box with an open top to hold all her Christmas cookies. She designs the box so that it has a volume of 10in3and the length of its base is twice the width. After going to a local craft store, she also finds that the base costs $10 per square inch. Material for the sides cost $6 per square inch. a. Sketch and label a diagram illustrating this situation and label it. b. Find the dimensions that will result in a box with the lowest cost. Your work must include work showing that your answer is, in fact, the lowest cost
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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 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.