Heptagonal prism | |
---|---|

Type | Uniform polyhedron |

Faces | 2 Heptagons 7 squares |

Edges | 21 |

Vertices | 14 |

Vertex configuration | 7.4.4 |

Wythoff symbol | 2 7 | 2 |

Coxeter diagram | |

Symmetry group | D, [7,2], (*722), order 28_{7h} |

Rotation group | D, [7,2]_{7}^{+}, (722), order 14 |

Dual polyhedron | Heptagonal bipyramid |

Properties | Convex semiregular |

Vertex figure | |

In geometry, the **heptagonal prism** is a prism with heptagonal base. This polyhedron has 9 faces, 21 edges, and 14 vertices.^{[1]}^{[2]}

## Area

The area of a right heptagonal prism with height and with a side length of and apothem is given by:^{[1]}

## Volume

The volume is found by taking the area of the base, with a side length of and apothem , and multiplying it by the height , giving the formula:^{[1]}

This formula also works for the oblique prism due to the Cavalieri's principle.

## Images

The heptagonal prism can also be seen as a tiling on a sphere:

## Related polyhedra

Prism name | Digonal prism | (Trigonal) Triangular prism |
(Tetragonal) Square prism |
Pentagonal prism | Hexagonal prism | Heptagonal prism | Octagonal prism | Enneagonal prism | Decagonal prism | Hendecagonal prism | Dodecagonal prism | ... | Apeirogonal prism |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Polyhedron image | ... | ||||||||||||

Spherical tiling image | Plane tiling image | ||||||||||||

Vertex config. | 2.4.4 | 3.4.4 | 4.4.4 | 5.4.4 | 6.4.4 | 7.4.4 | 8.4.4 | 9.4.4 | 10.4.4 | 11.4.4 | 12.4.4 | ... | ∞.4.4 |

Coxeter diagram | ... |

## References

- ^
^{a}^{b}^{c}Sapiña, R. "Area and volume calculator of a heptagonal prism" (in Spanish). Problemas y ecuaciones. ISSN 2659-9899. Retrieved June 17, 2020. **^**Pugh, Anthony (1976),*Polyheda: A Visual Approach*, University of California Press, p. 27, ISBN 9780520030565.