Calculate mass, density or volume from any two known values and convert between kg, lb, kg/m³, lb/ft³, m³ and ft³, with steps shown.

Find sample volume from mass and density.

Use mass, volume and density for the same sample and measurement conditions.

Volume From Density Formula

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

V = m / D
  • Where V is the Volume From Density (m^3)
  • m is the mass (kg) 
  • D is the density (kg/m^3) 

To calculate volume from density, divide the mass by the density.

Mass to Volume Conversion Table (Assuming Water, ρ = 1000 kg/m³)
Mass (kg) Volume (m³) Volume (ft³)
0.10.0001000.003531
0.250.0002500.008829
0.50.0005000.017657
0.750.0007500.026486
10.0010000.035315
20.0020000.070629
2.50.0025000.088287
50.0050000.176573
7.50.0075000.264860
100.0100000.353147
12.50.0125000.441433
150.0150000.529720
200.0200000.706293
250.0250000.882867
300.0300001.059440
400.0400001.412587
500.0500001.765733
750.0750002.648600
1000.1000003.531467
2000.2000007.062933
Assumes an approximate water density of ρ = 1000 kg/m³ (≈ 62.428 lb/ft³); actual density varies with temperature and pressure. Formula: Volume = Mass / Density. 1 kg of water ≈ 0.001000 m³ ≈ 0.035315 ft³.

How to Calculate Volume From Density?

The following example problems outline how to calculate Volume From Density.

Example Problem #1:

  1. First, determine the mass (kg).
    1. The mass (kg) is given as  50.
  2. Next, determine the density (kg/m^3).
    1. The density (kg/m^3) is provided as 2.
  3. Finally, calculate the Volume From Density using the equation above: 

V = m /D

The values given above are inserted into the equation below:

V = 50 /2 = 25 (m^3)

Example Problem #2: 

The variables needed for this problem are provided below:

mass (kg) = 60

density (kg/m^3) = 3

Entering these values and solving gives:

V = m /D = 20 (m^3)