Calculate density from weight and volume or mass and volume, with results in kg/m³, g/cm³, lb/ft³, and relative density against an explicit reference.
Density From Weight Formula
The following formula is used to calculate the Density From Weight.
- 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 weight force in newtons by the gravitational acceleration, then divide by volume in m³. The default acceleration is standard gravity, 9.80665 m/s²; enter local gravity when needed.
| Density (kg/m³) | Weight of 1 m³ (kN) |
|---|---|
| 1.225 | 0.012 |
| 500 | 4.903 |
| 740 | 7.257 |
| 750 | 7.355 |
| 789 | 7.737 |
| 910 | 8.924 |
| 917 | 8.993 |
| 1000 | 9.807 |
| 1025 | 10.052 |
| 1800 | 17.652 |
| 2400 | 23.536 |
| 2500 | 24.517 |
| 2700 | 26.478 |
| 2700 | 26.478 |
| 4500 | 44.130 |
| 7850 | 76.982 |
| 7870 | 77.178 |
| 8960 | 87.868 |
| 11340 | 111.207 |
| 13534 | 132.723 |
| Assumes V = 1 m³ and standard 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:
- First, determine the total weight (N).
- The total weight (N) is given as 400.
- Next, determine the total volume (m^3).
- The total volume (m^3) is provided as 30.
- Finally, calculate the Density From Weight using the equation above:
D = (W/9.80665) / V = (kg/m^3)
The values given above are inserted into the equation below:
D = (400/9.80665) / 30 ≈ 1.3596 (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/9.80665) / V = ?
