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Show that the rectangular box of maximum volume that can be inscribed in the sphere x^2 + y^2 + z^2 = a^2 is a cube

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

Chapter9: Systems Of Linear Equations

Section9.1: The Graphing Method

Problem 24WE

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Show that the rectangular box of maximum volume that can be inscribed
in the sphere x^2 + y^2 + z^2 = a^2
is a cube

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