Platonic solid

There are 5 "Platonic solids" that were identified by the Greek mathematician Plato. They are three dimensional solids (polyhedra) having the following properties:

• The faces of the shape are regular polygons. That is, they have all sides and interior angles equal.
• All the faces are congruent. That is they are all identical in shape and size.

Tetrahedron		4 faces
Cube (Hexahedron)		6 faces
Octahedron		8 faces
Dodecahedron		12 faces
Icosahedron		20 faces

Related topics

• Definition of a face
• Definition of an edge
• Volume

• Definition and properties of a cube
• Volume enclosed by a cube
• Surface area of a cube

• Definition and properties of a pyramid
• Oblique and right pyramids
• Volume of a pyramid
• Surface area of a pyramid

• Cylinder - definition and properties
• Cylinder relation to a prism
• Cylinder as the locus of a line
• Oblique cylinders
• Volume of a cylinder
• Volume of a partially filledcylinder
• Surface area of a cylinder

• Prism definition
• Volume of a prism
• Surface area of a prism

• Volume of a sphere
• Surface area of a sphere

• Definition of a cone
• Oblique and Right Cones
• Volume of a cone
• Surface area of a cone
• Derivation of the cone area formula
• Slant height of a cone

• Conic sections - the circle
• Conic sections - the ellipse

• Icosahedron (20 faces each an equilateral triangle)