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eguruchela

Parellelepiped, Tetrahedron Volume Calculator

Calculates the volumes of parallelepiped and tetrahedron for given vertices.

Please Enter the vertex (P, Q, R and S)
xyz
vertex P :
vertex Q :
vertex R :
vertex S :

Volume of Parellelepiped :
Volume of Tetrahedron :

The tetrahedron is a regular pyramid.

parallelepiped and tetrahedron


Volume of a Parallelepiped : Geometrically, the absolute value of the triple product represents the volume of the parallelepiped whose edges are the three vectors that meet in the same vertex.
Formula of volume is :
V=(x4−x1)×[(y2−y1)×(z3−z1)−(z2−z1)×(y3−y1)]; +(y4−y1)×[(z2−z1)×(x3−x1)−(x2−x1)×(z3−z1)]; +(z4−z1)×[(x2−x1)×(y3−y1)−(y2−y1)×(x3−x1)];
Volume of a Tetrahedron : The volume of a tetrahedron is equal to 1/6 of the absolute value of the triple product. The tetrahedron has four faces which are equilateral triangles and has 6 edges in regular tetrahedron having equal in length, the regular tetrahedron has four vertices and 3 faces meets at any one of vertex.
The volume of tetrahedron is :
Tetrahedron volume=Parallelepiped volume (V)6