Enter the density (kg/m^3), the volume (m^3), and the area (m^2) into the calculator to determine the Pressure From Density. 

Pressure From Density Formula

The following formula is used to calculate the Pressure From Density.

Pd = D*V/ A * g
  • Where Pd is the Pressure From Density (Pa)
  • D is the density (kg/m^3) 
  • V is the volume (m^3) 
  • A is the area (m^2) 

To calculate the pressure from density, multiply the density by the volume, divide by the area, then multiply by the acceleration due to gravity.

How to Calculate Pressure From Density?

The following example problems outline how to calculate the Pressure From Density.

Example Problem #1

  1. First, determine the density (kg/m^3). In this example, the density (kg/m^3) is given as 10 .
  2. Next, determine the volume (m^3). For this problem, the volume (m^3) is given as  50 .
  3. Next, determine the area (m^2). In this case, the area (m^2) is found to be 10.
  4. Finally, calculate the Pressure From Density using the formula above: 

Pd = D*V/ A * g

Inserting the values from above and solving yields: 

Pd = 10*50/ 10 * 9.81 = 490.5 (Pa)

Example Problem #2

Using the same method as above, determine the variables required by the equation. For this example problem, these are provided as:

density (kg/m^3) = 41

volume (m^3) = 16

area (m^2) = 28

Enter these given values yields: 

Pd = 41*16/ 28 * 9.81 = 229.83 (Pa)