Platonic Solids-Faces, Edges, Vertices
A soild with all flat surfaces that enclose a single region of space is called a polyhedron. each flatsurfaceor face is a polygon. The line segments where the faces intersect at a point called a vertex.




Vertices
Edges
Faces


tetrahedron
Tetrahedron
Tetrahedron

4
6
4


cube
Hexahedron (cube)
Hexahedron (cube)

8
12
6


octahedron
Octahedron
Octahedron

6
12
8


dodecahedron
Dodecahedron
Dodecahedron

20
30
12


icosahedron
Icosahedron
Icosahedron

12
30
20




In geometry, a Platonic solid is a convex polyhedron that is regular, in the sense of a regular polygon. Specifically, the faces of a Platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex; thus, all its edges are congruent, as are its vertices and angles.