The volume of a truncated octahedron can be easily calculated if we know the volume of an octahedron.

The volume of an octahedron of edge length 1 is:

We can calculate the volume of an octahedron of edge length 3:

To calculate the volume of a truncated octahedron we have to remove to an octahedron of edge length 3 six pyramids. These six pyramids make 3 octahedra of edge length 1.

LINKS

	The truncated octahedron is a space-filling polyhedron These polyhedra pack together to fill space, forming a 3 dimensional space tessellation or tilling.
	A truncated octahedron made by eight half cubes Using eight half cubes we can make a truncated octahedron. The cube tesselate the space an so do the truncated octahedron. We can calculate the volume of a truncated octahedron.
	Hexagonal section of a cube We can cut in half a cube by a plane and get a section that is a regular hexagon. Using eight of this pieces we can made a truncated octahedron.
	Volume of an octahedron The volume of an octahedron is four times the volume of a tetrahedron. It is easy to calculate and then we can get the volume of a tetrahedron.
	The volume of the tetrahedron The volume of a tetrahedron is one third of the prism that contains it.
	Regular dodecahedron One eighth of a regular dodecahedon of edge 2 has the same volume as a dodecahedron of edge 1.