One of the key applications of finding global extrema is in optimizing some quantity, either minimizing or maximizing it. Here, we maximize the volume of a box. Interactive calculus applet.

This page explores volumes where the cross section is known, but isn't generated by revolution, using integral calculus. Interactive calculus applet.

How to find the volume that is swept out by an area between two curves when the area is revolved around an axis using integral calculus. Interactive calculus applet.

Definition and properties of oblique cylinders, which are cylinders that 'lean over' to one side. Oppositie of a right cylinder where the sides are perpendicular to the bases. Includes discussion of why the volume does not change.

Formula and description of the volume of a cube.

Formula and description of the volume of a cylinder.

Animated demonstration of the pyramid volume calculation

Animated demonstration of the cone volume calculation

Animated demonstration of the sphere volume calculation

Description and formula for the volume of a trianglular prism.