Surface area of box max/min

Welcome to the IKEA problem! In this video, we find the smallest surface area of a box whose volume is 1000 cubic centimeters. This is a beautiful illustration of a max/min problem in multivariable calculus, which we here solve using the classical second derivative test. In a related video, I will show you the Lagrange multiplier way of solving this.

Multivariable Calculus Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCaZbBHamqm8hFXRIrpt6md
Partial Derivatives: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCKSZwoHh-Il6s9-68CfLCu
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Видео Surface area of box max/min канала Dr Peyam