# Icosahedron Calculator

## Definition

Icosahedron - a three dimensional geometrical figure, it consists of 20 triangle shaped sides that form 12 vertices and 30 edges. The name comes from the greek είκοσι (eíkosi) meaning twenty and εδρα (hédra) that stands for seat.

Equation form:

Surface Area (SA) = 5 * a² * √3 |

Volume (V) = | 5 * (3 + √5) * a³ |

12 |

_{C}) of circumscribed sphere about icosahedron with edge a:

V_{C} = | (√(10 + 2 * √5))³ * π * a³ |

48 |

_{I}) of inscribed sphere in icosahedron with edge a:

V_{I} = | (√3*(3 + √5))³π * a³ |

1296 |

### About Icosahedron Calculator tool.

Remember this tool should be used only to calculate area, perimeter or volume of a figure. The results we provide are accurate, but rounded to the 12th decimal place. It accepts scientific notation and converts immediately.