# Dodecahedron Calculator

## Definition

Dodecahedron - a three dimensional geometrical figure, it consists of twelve regular pentagonal sides. 3 sides meet at each of the 20 vertices, it also has 30 edges and 160 diagonals.

Equation form:

Surface Area (SA) = 3 * a² * √(5 * (5 + 2 * √5)) |

Volume (V) = | (15 + 7 * √5) * a³ |

4 |

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

V_{C} = | (√3 * (1 + √5)) * π * a³ |

48 |

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

V_{I} = | (√(10*(25 + 11*√5)))³π * a³ |

6000 |

### About Dodecahedron 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.