Volume Optimization Calculus

Maximize Volume of an Open Top Box (Optimization) | Calculus 1 Exercises

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 ...

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