Tetrahedron - Mass

The Mass or Weight of a Tetrahedron calculator computes the mass or weight (M) of a tetrahedron based on the length of a side (a) and the density of the substance of which the tetrahedron is made.     Regular Tetrahedron

INSTRUCTIONS: Choose units and enter the following:

• (a)  Length of Edges
• (mD)  Mean Density of material composing tetrahedron.

Tetrahedron Mass(M): The calculator returns the mass (M) in kilograms.  However, this can be automatically converted to other mass and weight units via the pull-down menu.

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 faces equilateral triangles.

The formula for the Volume of a Tetrahedron is:

• `V = a^3/(6sqrt(2))`

where:-

• V = Volume
• a = length of any edge. They are all the same.

The Mass is computed by multiplying the volume times the density.

• Mass = Volume * Density

Mean Density Table

Mean density is scientifically volume divided by mass.  There are  various unit for density adopted by cultures and industries. Common units for density included the following:

• kilograms per cubic meter (kg/m³)
• grams per cubic centimeter (g/cm³)
• grams per liter (g/L)
• pounds per cubic feet (lb/ft³)
• ounces per cubic inch (oz/in³)
• pounds per barrel (lb/bbl)
• pounds per bushel (lb/bu)

If you want to identify a material by its density, use the Density Within Range tool.

Tetrahedron Calculators

• Area of the face of a tetrahedron.
• Surface area of a tetrahedron.
• Volume of a tetrahedron
• Mass or Weight of a tetrahedron
• Height of a tetrahedron.
• Roll a virtual tetrahedron (4 sided) dice
• The mean density of many substances, CLICK HERE.