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Triangular Weight

` = "Triangular Weight"`
`(a) "Length Side a"`
`(b) "Length Side b"`
`(c) "Length Side c"`
`(h) "Height"`
`(mD)"Mean Density"`

The Weight or Mass of a Triangular Shaped Object calculator computes the mass based on the length of three sides and the height.Diagram of triangular shaped column (3D shape)

INSTRUCTIONS: Choose units and enter the following:

  • (a) Length of Side a
  • (b) Length of Side b
  • (c) Length of Side c
  • (h) Height
  • (mD) Mean Density

Triangular Weight or Mass(M):The calculator returns the mass in kilograms.  However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The Prism Weight(Mass) formula computes the weight or mass of a triangular shaped object given the length the prism's three sides, the height of the triangular shape, and the mean density (mD).

The formula for the Triangular Weight is:

`M = h * sqrt((a+b+c)/2((a+b+c)/2-a)((a+b+c)/2-b)((a+b+c)/2-c))  * mD`

where:

  • M = Weight or Mass of Triangular Shape
  • a, b, c = length of triangle sides
  • h = height of triangular shape
  • mD = Mean Density of material.
     

This formula computes the volume of the triangular shape based on the input parameters in three steps:

  1. Calculate the area (A) of the triangular base are using Heron's formula of a triangle area based on the  length of three sides.  
  2. Calculate the volume from the area and height, using the formula V=A⋅h.
  3. Calculate the mass / weight from the volume and density using the formula  M = V⋅mD

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

 

Metals

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.


Weight is technically the downward force that a mass exerts based on the force of gravity and the mass of the object.  On the surface of the Earth, mass and weight are often interchanged.  In some places, objects are sold by the gram (mass), and in other locations, the same objects are sold by the ounce (weight).

The Weight Calculators use the dimensions of an object and its shape to compute the objects volume.  They then apply a density associated with a material to estimate the objects weight.

Weight Calculators