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Maximum Volume A package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. (a) Find the dimensions of the package of maximum volume that can be sent when the cross section is square (see figure). (b) What are the dimensions of a cylindrical package of maximum volume? (The cross section is circular.)

Maximum Volume A package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. (a) Find the dimensions of the package of maximum volume that can be sent when the cross section is square (see figure). (b) What are the dimensions of a cylindrical package of maximum volume? (The cross section is circular.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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37. Maximum Volume A package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. (a) Find the dimensions of the package of maximum volume that can be sent when the cross section is square (see figure). (b) What are the dimensions of a cylindrical package of maximum volume? (The cross section is circular.)
Transcribed Image Text:37. Maximum Volume A package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. (a) Find the dimensions of the package of maximum volume that can be sent when the cross section is square (see figure). (b) What are the dimensions of a cylindrical package of maximum volume? (The cross section is circular.)
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