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.)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 16A: A piece in the shape of a pyramid with a regular octagon (eight sided) base is machined from a solid...
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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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