Volume from Mass and Density

The Volume from Density and Mass calculator computes the volume (V) of an object based on the density (ρ) and mass (M)of an object.

INSTRUCTIONS: Choose units and enter the following:

• (ρ) Density
• (M) Mass.

Volume (V): The calculator returns the volume (V) of the object in cubic meters.  However, this can be automatically converted to other volume units via the pull-down menu.

The Math

The relationship between mass, volume and density is shown in the following equation:

           Volume = mass / density

The formula for volume based on mass and density is:

           V = m / ρ

where:

• V is the volume of material
• m is the mass of the material
• ρ is the density of the material

Mass - Volume - Density

The relation ship between density, mass and volume is:

• ρ =  M / V

Therefore:

• M = V ⋅ ρ
• V = M / ρ

where:

• M = Mass
• V = Volume
• ρ = Density

The above are links to calculator with the indicated formula

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.