The Weight or Mass of a Triangle Based Pyramid calculator computes the mass (M) of a pyramid with a triangle base that is defined by the length of the three triangle base sides (a,b,c) and height (h) from the base to the apex. The mass is computed using the volume and the mean density of the composition of the pyramid.
INSTRUCTIONS:
Mass of the Pyramid (M): The mass is returned in kilograms, and the volume in cubic meters. However, these can be automatically converted to compatible units via the pull-down menu.
The formula for the mass of a triangle based pyramid is:
`m = mD * 1/3 * h * sqrt((a+b+c)/2((a+b+c)/2-a)((a+b+c)/2-b)((a+b+c)/2-c)) `
where:
Note: this implies that the height is normal to triangle plane.
Common Mean Densities in Kilograms per Meter Cubed (kg/m3) | ||
Fluids
Fuels
Market-Ready Grains |
Metals
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Earthen
Synthetic
Organic
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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:
If you want to identify a material by its density, use the Density Within Range tool.