A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The container must contain 12 cm³. The top and the bottom will cost $2.10 per square centimeter, while the four sides will cost $2.50 per square centimeter. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth.
A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The container must contain 12 cm³. The top and the bottom will cost $2.10 per square centimeter, while the four sides will cost $2.50 per square centimeter. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.CR: Review Exercises
Problem 9CR: Tom Morrow wants to buy some fertilizer for his yard. The lot size is 140 ft by 160 ft. The outside...
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Transcribed Image Text:A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The container must contain 12 cm³. The top
and the bottom will cost $2.10 per square centimeter, while the four sides will cost $2.50 per square centimeter.
What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth.
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