The formula to calculate the Edge Length of Dodecahedron given Volume is:

\[ l_e = \left( \frac{4V}{15 + 7\sqrt{5}} \right)^{\frac{1}{3}} \]

The Edge Length of a Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron. The Volume of a Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Dodecahedron.

Let's assume the following values:

- Volume of Dodecahedron = 7700 cubic meters

Using the formula:

\[ l_e = \left( \frac{4 \cdot 7700}{15 + 7\sqrt{5}} \right)^{\frac{1}{3}} = 10.0160169900652 \]

The Edge Length of the Dodecahedron is 10.0160169900652 meters.

Volume (cubic meters) | Edge Length (meters) |
---|---|

7500 | 9.928536390977992 |

7550 | 9.950550956159564 |

7600 | 9.972468540091844 |

7650 | 9.994290203852451 |

7700 | 10.016016990065159 |

7750 | 10.037649923338334 |

7800 | 10.059190010690196 |

7850 | 10.080638241961397 |

7900 | 10.101995590215349 |