See the dodecahedron rotating around the x, y, z axis.

Properties of the Dodecahedron |

The Symmetry |

Surface Area |

12 pentagons make up this dodecahedron. Click here to see how to calculate the area of a pentagon. |

Volume |

The dodecahedron is made up of 12 pyramids with pentagon as the base. The volume of one pyramid = (base area × height) /3 = 12 × the volume of pyramid. To calculate the height of the pyramid, use the Pythagoras theorem, height = √(R² - r²), where R is the radius of the dodecahedron and r is the radius of each pentagon. V = 15 + [(7√5) / 4]a³ |