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Box Weight

`M = L * H * D * "mD" `
`(L) "length"`
`(D) "depth"`
`(H) "height"`
`(mD) "mean density"`

The Mass or Weight of a Solid Cuboid formula provides the weight or mass of a cuboid (a.k.a. box, right parallelepiped ) of length (l), height (h) and depth (d) and a mean density (mD).

INSTRUCTIONS: Choose units and enter the following:

  • (l) Length
  • (h) Height
  • (d) Depth
  • (mD) Mean Density.

Cuboid 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 Mass or Weight of a cuboid or rectangular container formula computes the volume of rectangular geometric shape based on the input parameters.  With the volume of the cuboid, this formula then executes the simple equation below to compute the approximate mass of the object.

`M = mD * L * D * H`

where:

  • M = Mass of the Object
  • mD = Mean Density of the Object
  • L = Length of the cuboid
  • W = Width of the cuboid 
  • H = Height of the cuboid

The mean density (mD) of many common substances, elements, liquids and materials can be found by clicking HERE(e.g. the `mu_(density) (water)` is 1000.0 kg/m³).

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