Calculate density from weight and volume or mass and volume, with results in kg/m³, g/cm³, lb/ft³, and specific gravity for common units.

Weight to Density Calculator

From Weight
From Mass

Enter two values to get the density.

Density From Weight Formula

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

D = (W/9.81) / V
  • Where D is the Density From Weight (kg/m^3)
  • W is the total weight (N) 
  • V is the total volume (m^3) 

To calculate density from weight, divide the weight by 9.81, then divide by the volume.

Density to Weight Conversion Table (1 m³ at Earth gravity, g = 9.80665 m/s²)
Density (kg/m³) Weight of 1 m³ (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 m³ and Earth gravity g = 9.80665 m/s². Formula: W = ρ × g × 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 (m^3).
    1. The total volume (m^3) is provided as: 30.
  3. Finally, calculate the Density From Weight using the equation above: 

D = (W/9.81) / V = (kg/m^3)

The values given above are inserted into the equation below:

D = (400/9.81) / 30 =1.359 (kg/m^3)

Example Problem #2: 

For this problem, the variables needed are provided below:

total weight (N) = 701

total volume (m^3) = 5

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

D = (W/9.81) / V = ?