Enter the total mass (kg) and the total volume (m^3) into the Weight Per Volume Calculator. The calculator will evaluate and display the Weight Per Volume. 

Weight Per Volume Formula

The following formula is used to calculate the Weight Per Volume. 

WPV = m * 9.81 / V
  • Where WPV is the Weight Per Volume (N/m^3)
  • m is the total mass (kg) 
  • V is the total volume (m^3) 

To calculate the weight per unit volume, multiply the mass by 9.81, then divide by the volume.

How to Calculate Weight Per Volume?

The following example problems outline how to calculate Weight Per Volume.

Example Problem #1:

  1. First, determine the total mass (kg).
    1. The total mass (kg) is given as: 30.
  2. Next, determine the total volume (m^3).
    1. The total volume (m^3) is provided as: 15.
  3. Finally, calculate the Weight Per Volume using the equation above: 

WPV = m * 9.81 / V

The values given above are inserted into the equation below:

WPV = 30 * 9.81 / 15 = 19.62 (N/m^3)

FAQ

What is the significance of the constant 9.81 in the Weight Per Volume formula?

The constant 9.81 in the formula represents the acceleration due to Earth’s gravity, measured in meters per second squared (m/s^2). It is used to convert mass (kg) into weight (Newtons), as weight is a force exerted by gravity on a mass.

Can the Weight Per Volume formula be used for any type of material?

Yes, the Weight Per Volume formula can be applied to any material, as long as you have the mass and volume of the material. However, the density and physical state of the material can affect the accuracy of the calculation, especially for compressible materials or those that significantly expand under certain conditions.

How does the Weight Per Volume calculation differ from density calculation?

While both Weight Per Volume and density involve mass and volume, Weight Per Volume calculates the weight (force due to gravity) per unit volume, expressed in N/m^3. In contrast, density is the mass per unit volume, typically expressed in kg/m^3. Essentially, Weight Per Volume factors in Earth’s gravity, while density does not.