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
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...
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76fb6528-d40f-434b-9103-530a1d400b1b%2F63c2ee25-4358-450a-ad8c-85198559498f%2Fd1qufya_processed.jpeg&w=3840&q=75)
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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)