# Volume of a tetrahedron and a parallelepiped Calculator

## Calculates the volumes of a tetrahedron and a parallelepiped given four vertices.

 vertex A ( , , ) vertex B ( , , ) vertex C ( , , ) vertex D ( , , ) 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt volume Vp of a parallelepiped volume Vt of a tetrahedron
 $\normal Parallelepiped\ and\ Tetrahedron\\\vspace{5}(1)\ V_p=\vec{AD}\cdot(\vec{AB}\times\vec{AC})\\{\small \hspace{18}= (x_4-x_1)[(y_2-y_1)(z_3-z_1)-(z_2-z_1)(y_3-y_1)] \\\hspace{18}+(y_4-y_1)[(z_2-z_1)(x_3-x_1)-(x_2-x_1)(z_3-z_1)] \\\hspace{18}+(z_4-z_1)[(x_2-x_1)(y_3-y_1)-(y_2-y_1)(x_3-x_1)]} \\\vspace{5}(2)\ V_t={\large\frac{V_p}{6}}\\$

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