Shape | No. of vertices | No. of edges | No. of faces |
---|---|---|---|

Cube | 8 | 12 | 6 |

Cuboid | 8 | 12 | 6 |

Cylinder | 0 | 2 | 3 |

Sphere | 0 | 0 | 1 |

Cone | 1 | 1 | 2 |

Prism | 6 | 9 | 5 |

Triangular pyramid | 4 | 6 | 4 |

Quadrilateral pyramid | 5 | 8 | 5 |

Euler’s formula is used to find number of faces or number of vertices or number of edges.

Formula

**Euler’s formula**

\(F + V = E + 2\)

Example

So, let’s validate Euler’s formula for cube:

V = 8, E = 12, F = 6

Using Euler’s formula, F + V = E + 2

\(\therefore\), 6 + 8 = 12 + 2

14 = 14