# Volume of a Parallelepiped (Cramer's Rule)

## Description

Parallelepiped is a three-dimensional figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning). Any of the three pairs of parallel faces can be viewed as the base planes of the prism. A parallelepiped has three sets of four parallel edges; the edges within each set are of equal length.

Cramer’s rule is an explicit formula for the solution of a system of linear equations, Using Cramer’s Rule the Volume of any Parallelepiped is related to the parallelepiped edge lengths and the internal angles between the edges.

## Variables

V | Volume (m^{3}) |

a | Length (m) |

b | Width (m) |

c | Height (m) |

α | Angle #1 (degree) |

β | Angle #2 (degree) |

γ | Angle #3 (degree) |