Calculate density from weight and volume, find weight from density and volume, or convert unit weight to density, in metric or US units.

Weight here is a force (N, lbf, kgf); it is converted to mass with standard gravity unless you change it.

Gravity and reference density
Blank uses standard gravity 9.80665 m/sยฒ; use the acceleration where force was measured.

Blank uses a nominal 1000 kg/mยณ reference. This is an explicit comparison basis, not an exact density for water at every temperature.

Density From Weight Formula

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

D = (W / 9.80665) / V
  • Where D is the Density From Weight (kg/m3)
  • W is the total weight (N) 
  • V is the total volume (m3) 

To calculate density from weight, divide weight force in newtons by the gravitational acceleration, then divide by volume in mยณ. The default acceleration is standard gravity, 9.80665 m/sยฒ; enter local gravity when needed.

Density to Weight Conversion Table (1 mยณ at standard gravity, g = 9.80665 m/sยฒ)
Density (kg/mยณ) Weight of 1 mยณ (kN)
1.2250.012
5004.903
7407.257
7507.355
7897.737
9108.924
9178.993
10009.807
102510.052
180017.652
240023.536
250024.517
270026.478
270026.478
450044.130
785076.982
787077.178
896087.868
11340111.207
13534132.723
Assumes V = 1 mยณ and standard gravity g = 9.80665 m/sยฒ. Formula: W = ฯ ร— g ร— V. 1 kN = 1000 N.

How to Calculate Density From Weight?

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

Example Problem #1:

  1. First, determine the total weight (N).
    1. The total weight (N) is given as 400.
  2. Next, determine the total volume (m3).
    1. The total volume (m3) is provided as 30.
  3. Finally, calculate the Density From Weight using the equation above: 

D = (W/9.80665) / V = (kg/m3)

The values given above are inserted into the equation below:

D = (400/9.80665) / 30 โ‰ˆ 1.3596 (kg/m3)

Example Problem #2: 

For this problem, the variables needed are provided below:

total weight (N) = 701

total volume (m3) = 5

This example problem is a test of your knowledge on the subject. Use the calculator above to check your answer. 

D = (W/9.80665) / V = ?