Platonic Solids Formulas
Edge: a
Radius of inscribed circle: r
Radius of circumscribed circle: R
Surface area: S
Volume: V
There are five Platonic Solids
The platonic solids are convex polyhedral with equivalent faces composed of congruent convex regular polygons.
| Solid | Number of Vertices | Number of Edges | Number of Faces | Section |
| Tetrahedron | 4 | 6 | 4 | 3.25 |
| Cube | 8 | 12 | 6 | 3.22 |
| Octahedron | 6 | 12 | 8 | 3.27 |
| Icosahedron | 12 | 30 | 20 | 3.27 |
| Dodecahedron | 20 | 30 | 12 | 3.27 |
Octahedron
1. r = 
2. R = 
3. S = 
4. V = 
Icosahedron
1. 
2. 
3. 
4. 
Dodecahedron
1. 
2. 
3. 
4. 