We solve a common type of optimization problem where we are asked to find the dimensions that maximize the volume of an open top box with a square base and a fixed surface area. To do this we begin with a volume equation then use the surface area restriction to rewrite the volume in terms of a single variable, at which point we can use our usual strategy of taking the first derivative, finding critical points, then using the first or second derivative test to classify these critical points. #Calculus1 #apcalculus

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