Tetrahedron Calc

The Tetrahedron Calculator provides calculating function associated with a regular tetrahedron including:

• Surface Area of a Tetrahedron - Computes the surface area of a regular tetrahedron.
• Volume of a Tetrahedron - Computes the volume of a regular tetrahedron.
• Mass of a Tetrahedron - Computes the weight or mass of a regular tetrahedron.
• Face Area of a Tetrahedron - Computes the surface area of one side of a regular tetrahedron.
• Height of a Tetrahedron - Computes the height from one face to the opposing apex of a regular tetrahedron.
• Rolling a Virtual 4 Sided Dice - Randomly returns 1 to 4

The Math / Science

A regular tetrahedron is a three dimensional shape with four vertices and four faces.  The lengths of all the edges are the same making all of the four faces identical equilateral triangles.

The formula for the Surface Area of a Tetrahedron is:

       `A=√3⋅a^2`

The formula for the volume of a Tetrahedron is:

The formula for the mass of a Tetrahedron is:

         `M = a^3/(6 sqrt(2)) * rho`   

         where ρ is the mean density of material.

The formula for the height of a Tetrahedron is:

      `h = sqrt( 2/3) * a`