Consider a container in the shape of a unit cube. It is rigid and has a tightly sealing lid. Pour into it a certain volume of water and close the lid.

For any given orientation of the cube the water and air within will have a boundary surface.

For a given volume, V, how can this surface be minimized?

In figuring the volume of a tetrahedron given edge lengths, here's a link to an interesting formula.

Posted by Charlie on 2009-12-09 02:38:51