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