You have been asked to design a rectangular box with a square base and an open top.The volume of the box must be 120 cm³. The cost of the material for the base is $0.30 per square centimeter and the cost of the material for the sides is $0.30 per square centimeter. Determine the dimensions of the box that will minimize the cost of manufacturing. What is the minimum cost? Give your answer in dollars, rounded to the nearest cent. Provide your answer below: S

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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You have been asked to design a rectangular box with a square base and an open top.The volume of the box must be
120 cm³. The cost of the material for the base is $0.30 per square centimeter and the cost of the material for the sides is
$0.30 per square centimeter. Determine the dimensions of the box that will minimize the cost of manufacturing. What is
the minimum cost? Give your answer in dollars, rounded to the nearest cent.
Provide your answer below:
Transcribed Image Text:You have been asked to design a rectangular box with a square base and an open top.The volume of the box must be 120 cm³. The cost of the material for the base is $0.30 per square centimeter and the cost of the material for the sides is $0.30 per square centimeter. Determine the dimensions of the box that will minimize the cost of manufacturing. What is the minimum cost? Give your answer in dollars, rounded to the nearest cent. Provide your answer below:
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