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Maximizing the Volume of an Open Top Box

The total surface area of a square based open-top rectangular box is 12 cm^2.
Find the dimensions of the box of maximum volume.

Solution Preview

Suppose the base of the box is x cm and the height is y cm.
Then the total surface area of the open box has four sides and one base. Each side ...

Solution Summary

The volume of a box is maximized using derivatives.