Postal regulations require that for a rectangular package with a square base, the perimeter of the square base plus the height should be 12 cm. Find the dimensions that will result in the maximum possible volume (that is so that the package will hold the most material).

Postal regulations require that for a rectangular package with a square base, the perimeter of the square base plus the height should be 12 cm. Find the dimensions that will result in the maximum possible volume (that is so that the package will hold the most material).

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 6CR: The base of a right prism is a regular hexagon whose sides are 8cm in length. The height of the...

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Postal regulations require that for a rectangular package with a
square base, the perimeter of the square base plus the height
should be 12 cm. Find the dimensions that will result in the
maximum possible volume (that is so that the package will hold
the most material).

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