(4) A storage shed is to be built in the shape of a box with a square base. It should have volume 150 ft. The concrete for the base costs $4.00 per square foot, the roof material costs $2.00 per square foot, and the material for the sides costs $2.50 per square foot. Find the dimensions of the most economical shed. (Hint: the total cost will be equal the sum of the costs of each piece.)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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(4) A storage shed is to be built in the shape of a box with a square base. It should have volume
150 ft. The concrete for the base costs $4.00 per square foot, the roof material costs $2.00 per
square foot, and the material for the sides costs $2.50 per square foot. Find the dimensions
of the most economical shed. (Hint: the total cost will be equal the sum of the costs of each
piece.)
Transcribed Image Text:(4) A storage shed is to be built in the shape of a box with a square base. It should have volume 150 ft. The concrete for the base costs $4.00 per square foot, the roof material costs $2.00 per square foot, and the material for the sides costs $2.50 per square foot. Find the dimensions of the most economical shed. (Hint: the total cost will be equal the sum of the costs of each piece.)
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