Polyhedrene case packing

Can you put them inside?

Aquest mòdul consisteix en un tetraedre i un octaedre de fusta que cal encaixar dins un cub.
No cal fer força, n’hi ha prou a situar-los correctament i entren suaument.

Fit polyheders

Some mathematical questions

Once the challenge has been solved, we can look at and try to answer some things:

      • The edges of the tetraedr in which position of the cube have been located?
      • The tetraeder inside the cube shows the position of its edges. What are the opposite edges like?
      • The space between the tetraeder and the cube consists of some pyramids, how many? What is its volume?
      • What is the relationship between the volumes of the tetraeder and the cube?
      • At what point in the edge of the cube are the vertices of the octahedre located?
      • What is the relationship between the volumes of the octahedre and the cube?

Downloadable material