Regular Icosahedron

A regular icosahedron is a regular polyhedron composed of 20 equally sized equilateral triangles.

Regular Icosahedron

Unfold of a Regular Icosahedron

Surface Area of a Regular Icosahedron

Characteristics of an Icosahedron

Number of faces: 20.

Number of vertices: 12.

Number of edges: 30.

Number of concurrent edges at a vertex: 5.

Surface Area of a Regular Icosahedron

Surface Area of a Regular Icosahedron Formula

Volume of a Regular Icosahedron

Volume of a Regular Icosahedron Formula


Example

Calculate the surface area and volume of a regular icosahedron with an edge of 5 cm.

Icosahedron Exercise

Icosahedron Solution