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

Unfold 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

Volume of a Regular Icosahedron

Example

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

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.