Parallelepiped

Another three slabs are on top, leaning in such a way they reduce the surface and form a false dome; two large parallelepiped boulders complete the construction.

A parallelepiped has three sets of four parallel edges; the edges within each set are of equal length.

A rhombohedron is a parallelepiped with all rhombic faces; a trigonal trapezohedron is a rhombohedron with congruent rhombic faces.

A space-filling tessellation is possible with congruent copies of any parallelepiped.

First, the absolute value of the box product is the volume of the parallelepiped which has edges that are defined by the three vectors.

The rectangular cuboid (six rectangular faces), cube (six square faces), and the rhombohedron (six rhombus faces) are all specific cases of parallelepiped.

Thus the faces of a parallelepiped are planar, with opposite faces being parallel.

Volume and Jacobian determinant As pointed out above, the absolute value of the determinant of real vectors is equal to the volume of the parallelepiped spanned by those vectors.