Mass from Volume and Density

This Mass calculator computes the mass (M) of an object based on the density (ρ) and volume (V).

INSTRUCTIONS: Choose your preferred units and enter the following:

• (ρ) mean density of the object
• (V) volume of the object

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

The Math / Science

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

            M = ρ • V

where:

• M is the mass
• ρ is the density
• V is the volume

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.

References

• Light and Matter(Dr. Benjamin Crowell) Chapter 1.2 Scaling of Area and Volume