Quick Math Homework Help

Platonic Solids

A platonic solid is a convex **Polyhedron** that satisfy these three characteristics:

- Made up of regular polygons.

- All faces are congruent.

- All corners are congruent.

- The same number of faces meet at every vertex.

3 Platonic solids are made of equilateral triangles

tetrahedron, octahedron, icosahedron

One platonic solid is made of squares, a cube.

One platonic solid is made of pentagons, a dodecahedron.

Here are the 5 platonic solids and their characteristics.

- 3 squares at each corner.

- 6 square faces.

- 3 equilateral triangles at each corner.

- 4 triangle faces.

- 4 equilateral triangles at each corner

- 8 triangle faces

- 5 equilateral triangles at each corner

- 20 triangle faces

- 3 pentagons at each corner

- 12 pentagon faces