Mass, Volume, Density Calculator
Use the relationship mass = density × volume to solve for any one value when you know the other two.
How this mass volume calculator works
This tool helps you solve practical physics and engineering problems where mass, volume, and density are linked. It is useful for chemistry labs, shipping calculations, fluid systems, material estimates, and everyday tasks like estimating the weight of liquids in tanks or containers.
The calculator supports multiple unit systems and automatically converts values behind the scenes before returning a result in your selected output unit.
The core formula
All calculations come from one equation:
- Mass = Density × Volume
- Volume = Mass ÷ Density
- Density = Mass ÷ Volume
To keep calculations consistent, the script converts inputs to SI base forms: kilograms (kg), cubic meters (m³), and kilograms per cubic meter (kg/m³), then converts back to your chosen unit.
Supported units
| Quantity | Units | Typical use |
|---|---|---|
| Mass | kg, g, lb, oz | Lab weights, product mass, shipping |
| Volume | m³, L, mL, cm³, ft³ | Tanks, bottles, containers, materials |
| Density | kg/m³, g/cm³, kg/L, lb/ft³ | Material and fluid property data |
Step-by-step usage
1) Choose the value to solve for
Select mass, volume, or density in the dropdown.
2) Enter the two known values
Fill in the enabled fields only. The field being solved is disabled and filled automatically after calculation.
3) Pick units and calculate
Choose your preferred unit for each quantity. Click Calculate to get the result and a quick formula summary.
Worked examples
Example A: Find mass
Suppose density is 1,000 kg/m³ (water) and volume is 0.02 m³. Mass = 1,000 × 0.02 = 20 kg.
Example B: Find volume
If mass is 5 kg and density is 2,500 kg/m³ (approx. concrete), Volume = 5 ÷ 2,500 = 0.002 m³ (2 liters).
Example C: Find density
If a sample has mass 750 g and volume 500 cm³, Density = 750 ÷ 500 = 1.5 g/cm³.
Common mistakes to avoid
- Mixing units without conversion (for example, g with m³).
- Using zero or negative values for physical quantities.
- Confusing mass and weight in force calculations (this tool computes mass, not force).
- Rounding too early when precision matters.
Practical applications
- Estimating payload limits for transport and storage.
- Sizing tanks and vessels in process engineering.
- Checking material consistency in manufacturing.
- Comparing solids and liquids by density for quality control.
Final note
For educational and planning use, this calculator is a fast and reliable way to relate mass, volume, and density. For safety-critical design, always verify with material datasheets and engineering standards.