2.

Platonic Solid
Shape of Faces
# of Faces at Each Vertex
Vertices
Faces
Edges
tetrahedron
equilateral triangle
3
4
4
6
hexahedron (cube)
square
3
8
6
12
octahedron
equilateral triangle
4
6
8
12
dodecahedron
pentagon
3
20
12
30
icosahedron
equilateral triangle
5
12
20
30

Some things to notice in this table:

  1. The prefix of the name of the polyhedron determines the number of faces that it has: tetrahedron – 4 faces; hexahedron – 6 faces; octahedron – 8 faces; dodecahedron – 12 faces; icosahedron – 20 faces.
  2. Euler's Formula holds for the number of edges (Faces + Vertices = Edges + 2).
  3. Regular polyhedra have the same number of faces meeting at each vertex.