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

Enter a value for all fields

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

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Mean Density Table

Common Mean Densities in Kilograms per Meter Cubed (kg/m3)
Fluids Pure Water - 1,000   Seawater - 1,022   Milk - 1,037  Olive Oil - 860 Cement Slurry - 1,442  Fuels Diesel Fuel - 885  Crude Oil - 870 to 920   Fuel Oil -  890   Ethanol - 789   Gasoline (petrol) - 737  Propane - 493  Liquid Natural Gas - 430 to 470  Market-Ready Grains Corn - 721 (56 lb/bu) Wheat - 772 (60 lb/bu) Barley - 618 (48 lb/bu) Oats - 412 (32 lb/bu) Rye - 721 (56 lb/bu) Soybean - 772 (60 lb/bu)	Metals Density of Aluminum - 2,700 Density of Brass - 8,530  Density of Bronze - 8,150  Density of Chromium - 7,190  Density of Cobalt - 8,746  Density of Copper - 8,940   Density of Gallium - 5907  Density of Gold - 19,300 Density of Iron - 7,847 Density of Lead - 11,340 Density of Nickle - 8,908  Density of Palladium -  12,023 Density of Platinum - 21,450  Density of Steel - 7,850  Density of Silver - 10,490  Density of Tin - 7,280 Density of Titanium - 4,500  Density of Tungsten - 19,600  Density of Uranium - 19,050 Density of Zinc - 7,135  Density of Zirconium - 6,570	Earthen Concrete - 2,371 Dirt - 1,250 Fire Clay - 1,362 Glass - 2,500 Granite - 2,691 Sand (dry) - 1,602 Sand (wet) - 2,082 Sandstone - 2,323 Synthetic Bakelite - 1,362 Carbon Fiber - 2,000 Organic Balsa - 170 Cork - 240 Mahogany - 545 Oak - 760 Pine - 539 Rubber - 1,522
Mean Density Lookup Function

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.