Platonic Solids
The platonic solids (or regular polyhedra) are convex with faces composed of congruent , convex regular polygons . The mathematician Euclid proved that there are exactly five such solids. They are the tetrahedron, cube, octahedron, dodecahedron and icosahedron.
The tetrahedron has faces. Each is an equilateral triangle . It also has edges and vertices. At each vertex three edges meet.
Surface Area
Volume
The cube has faces. Each is a square . It also has edges and vertices. At each vertex three edges meet.
Surface Area
Volume
The octahedron has faces. Each is an equilateral triangle. It also has edges and vertices. At each vertex four edges meet.
Surface Area
Volume
The dodecahedron has faces. Each is a regular pentagon. It also has edges and vertices. At each vertex three edges meet.
Surface Area
Volume
The icosahedron has faces. Each is an equilateral triangle. It also has edges and vertices. At each vertex five edges meet.
Surface Area
Volume