# Cuboid

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Cuboid | |
---|---|

Rank | 3 |

Type | Semi-uniform |

Notation | |

Bowers style acronym | Cuboid |

Coxeter diagram | x y z |

Elements | |

Faces | 2+2+2 rectangles |

Edges | 4+4+4 |

Vertices | 8 |

Vertex figure | Scalene triangle |

Measures (edge lengths a , b , c ) | |

Circumradius | |

Volume | |

Dihedral angle | 90° |

Central density | 1 |

Related polytopes | |

Army | Cuboid |

Regiment | Cuboid |

Dual | Rhombic tegum |

Conjugate | Cuboid |

Abstract & topological properties | |

Flag count | 48 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | K_{3}, order 8 |

Flag orbits | 6 |

Convex | Yes |

Nature | Tame |

The **cuboid** or **rectangular prism** is a variant of the cube with 3 pairs of identical parallel rectangles as faces. All of its dihedral angles measure 90° and all cuboids are isogonal.

A cuboid with edges of length a, b, and c can be alternated into a rhombic disphenoid with edges of length , , and .

## Vertex coordinates[edit | edit source]

A cuboid with edges of length a, b, and c has coordinates given by: