A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The container must contain 15 cm³. The top and the bottom will cost $2.20 per square centimeter, while the four sides will cost $2.40 per square centimeter. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth. Answer cm Keypa Keyboard Shorto

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 38A: Three pieces, each in the shape of a sector, are cut from the rectangular sheet of steel shown. How...
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A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The container must contain 15 cm³. The top and the bottom
will cost $2.20 per square centimeter, while the four sides will cost $2.40 per square centimeter.
What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth.
Answer
cm
Keypa
Keyboard Shorto
Transcribed Image Text:A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The container must contain 15 cm³. The top and the bottom will cost $2.20 per square centimeter, while the four sides will cost $2.40 per square centimeter. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth. Answer cm Keypa Keyboard Shorto
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