6. A rectangular box with a square base, an open top, and a volume of 216 in³ is to be constructed. What should the dimensions of the box be to minimize the surface area of the box? What is the minimum surface area?.

6. A rectangular box with a square base, an open top, and a volume of 216 in³ is to be constructed. What should the dimensions of the box be to minimize the surface area of the box? What is the minimum surface area?.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter5: Factoring Polynomials

Section5.13: Using Factoring To Solve Problems

Problem 27P

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Question

6. A rectangular box with a square base, an open top, and a volume of 216 in³ is to be constructed.
What should the dimensions of the box be to minimize the surface area of the box? What is
the minimum surface area?.

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