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A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost per square foot for the bottom is 20e, for the top is 10¢, and for the sides is 1.5¢. What dimensions will minimize the cost? What are the dimensions of the box? The length of one side of the base is The height of the box is (Round to one decimal place as needed.)

A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost per square foot for the bottom is 20e, for the top is 10¢, and for the sides is 1.5¢. What dimensions will minimize the cost? What are the dimensions of the box? The length of one side of the base is The height of the box is (Round to one decimal place as needed.)

Mathematics For Machine Technology
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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A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost per square foot for the bottom is 20e, for the top is 10¢, and for the sides is 1.5¢. What dimensions will minimize the cost? What are the dimensions of the box? The length of one side of the base is The height of the box is (Round to one decimal place as needed.)
Transcribed Image Text:A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost per square foot for the bottom is 20e, for the top is 10¢, and for the sides is 1.5¢. What dimensions will minimize the cost? What are the dimensions of the box? The length of one side of the base is The height of the box is (Round to one decimal place as needed.)
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