1. Find the dimensions of closed-top box with the largest volume if the total surface area must be 125 cm?and also find Lagrange multiplier a and explain.

It is known that perimeter of box is, 2(xy+xz+yz) Given that, 2(xy+xz+yz)=125 So, z=1252-xyx+y The…

Answered: 1. Find the dimensions of closed-top…

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

Section9.3: Cylinders And Cones

Problem 25E

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1. Find the dimensions of closed-top box with the largest volume if the total surface area must be 125 cm? and also find Lagrange multiplier 2 and explain.