Use a Lagrange multiplier to find the dimensions of the rectangular box of largest possible volume, with surface area 24 in?. (You may be able to guess the answer, but you should still confirm it with a calculation.)

Use a Lagrange multiplier to find the dimensions of the rectangular box of largest possible volume, with surface area 24 in?. (You may be able to guess the answer, but you should still confirm it with a calculation.)

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

Section9.4: Polyhedrons And Spheres

Problem 28E: Given that a regular polyhedron of n faces is inscribed in a sphere of radius length 6 in., find the...

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Use a Lagrange multiplier to find the dimensions of the rectangular box of largest possible
volume, with surface area 24 in?. (You may be able to guess the answer, but you should still
confirm it with a calculation.)

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