Anzeige

Parallelepiped Calculator

Calculations at a parallelepiped. A parallelepiped is a six-sided polyhedron with equal opposite sides and edges, the side faces are parallelograms.
Enter the three edge lengths and the three angles at one of the vertices and choose the number of decimal places. Then click Calculate. Please enter angles in degrees, here you can convert angle units.

α is the angle at bc, β is the angle at ac and γ is the angle at ab.


Euclid First edge (a): Parallelepiped
Second edge (b):
Third edge (c):
First angle (α):
Second angle (β):
Third angle (γ):
Surface area (A):
Volume (V):
Surface-to-volume ratio (A/V):
Round to    decimal places.



Formulas:

A=2[absin(γ)+acsin(β)+bcsin(α)]
V=abc1+2cos(α)cos(β)cos(γ)-cos2(α)-cos2(β)-cos2(γ)

The edge lengths have the same unit (e.g. meter), the area has this unit squared (e.g. square meter), the volume has this unit to the power of three (e.g. cubic meter). A/V has this unit -1.

A parallelepiped is the three-dimensional equivalent of a parallelogram. Its side faces are three pairs of two equal parallelograms facing each other. A parallelepiped is an oblique prism with a parallelogram as its base. If all sides are the same length, i.e. if they are rhombuses, then it is a special case of the parallelepiped, the rhombohedron. The cuboid with different long sides but equal angles, which then have ninety degrees, is also a special case of the parallelepiped. The even more special case of the cube combines both special cases, i.e. equal sides and equal angles.
The parallelepiped is point-symmetrical with respect to the intersection point of its spatial diagonals. The general parallelepiped has no axial symmetry, but the special cases do. With equal parallelepipeds, space can be filled without gaps.



Last updated on 03/31/2026.

© Jumk.de Webprojects | Online Calculators

Cite this page: Rechneronline (2026) - Parallelepiped.
Retrieved on 2026-06-08 from https://rechneronline.de/pi/parallelepiped-e.php




↑ up



Anzeige



Anzeige