Volume to Mass Calculator
Calculate mass from volume and density
Volume of the material (use consistent units with density)
Material density (use consistent units with volume)
How to Use This Calculator
Enter Volume
Input the volume (V) of the material. You can use any volume unit (m³, L, cm³, in³, etc.), but make sure to use consistent units with density. For example, if volume is in m³, density should be in kg/m³.
Enter Density
Input the material density (ρ). Common units include kg/m³ (SI), g/cm³, or lb/in³. Make sure the density units are compatible with your volume units. For example: m³ with kg/m³, or cm³ with g/cm³.
Calculate Mass
Click "Calculate" to determine the mass. The result will be in units consistent with your inputs (e.g., kg if using m³ and kg/m³, or g if using cm³ and g/cm³).
Formula
Mass = Density × Volume
m = ρ × V
Where:
- m = Mass - kg, g, or lb
- ρ = Density - kg/m³, g/cm³, or lb/in³
- V = Volume - m³, L, cm³, or in³
Unit Consistency:
- Volume in m³ + Density in kg/m³ → Mass in kg
- Volume in cm³ + Density in g/cm³ → Mass in g
- Volume in L + Density in kg/L → Mass in kg
- Volume in in³ + Density in lb/in³ → Mass in lb
Example:
For volume 0.001 m³ and density 7850 kg/m³ (steel):
m = 7850 × 0.001 = 7.85 kg
About Volume to Mass Calculator
The Volume to Mass Calculator is a fundamental tool for physics, chemistry, and engineering that calculates mass from volume and density using the basic relationship: m = ρ × V. This calculator is essential for material quantity estimation, weight calculations, and unit conversions.
When to Use This Calculator
- Material Estimation: Calculate material weight from volume measurements
- Shipping & Logistics: Determine weight for transportation planning
- Construction: Estimate material quantities and weights
- Chemistry & Physics: Convert between volume and mass in experiments
- Manufacturing: Calculate material requirements and costs
Why Use Our Calculator?
- ✅ Simple Calculation: Quick mass from volume and density
- ✅ Flexible Units: Works with any consistent unit system
- ✅ Fundamental Tool: Essential for many calculations
- ✅ Educational Resource: Learn density and mass relationships
- ✅ Accurate Results: Precise calculations for engineering applications
Key Concepts
Density: Density (ρ) is mass per unit volume, a fundamental material property. It represents how much mass is contained in a given volume. Different materials have different densities: water has density ~1000 kg/m³, steel ~7850 kg/m³, aluminum ~2700 kg/m³. Density depends on material composition, temperature, and pressure.
Mass-Volume Relationship: Mass equals density multiplied by volume: m = ρ × V. This relationship is fundamental in physics and engineering, allowing conversion between mass and volume when density is known. The relationship holds for homogeneous materials at constant temperature and pressure.
Common Material Densities
- Water: 1000 kg/m³ (at 4°C)
- Steel: 7850 kg/m³
- Aluminum: 2700 kg/m³
- Copper: 8960 kg/m³
- Concrete: 2400 kg/m³
- Wood (pine): 500-600 kg/m³
Frequently Asked Questions
How do I convert volume to mass?
To convert volume to mass, multiply volume by density: m = ρ × V. For example, if you have 0.001 m³ of steel (density 7850 kg/m³), mass = 7850 × 0.001 = 7.85 kg. Make sure to use consistent units: if volume is in m³, density should be in kg/m³.
What units should I use?
Use any consistent unit system. Common combinations: m³ with kg/m³ (result in kg), cm³ with g/cm³ (result in g), L with kg/L (result in kg), or in³ with lb/in³ (result in lb). The key is that volume and density units must be compatible. For example, m³ × kg/m³ = kg.
Can I use this for gases?
Yes, but be careful: gas density depends strongly on temperature and pressure. Use the density at the specific conditions (temperature and pressure) of your volume measurement. For ideal gases, you can calculate density using the ideal gas law: ρ = P × M / (R × T), where P is pressure, M is molar mass, R is gas constant, and T is temperature.
How do I find material density?
Material density can be found in material property databases, engineering handbooks, or material datasheets. Common values: water 1000 kg/m³, steel 7850 kg/m³, aluminum 2700 kg/m³, copper 8960 kg/m³. Density can also be measured experimentally by dividing measured mass by measured volume.
Does this work for irregular shapes?
Yes, as long as you can measure or calculate the volume accurately. The formula m = ρ × V applies to any shape, regular or irregular. For irregular shapes, volume can be measured using water displacement, 3D scanning, or geometric approximations. Once you have the volume, the calculation is the same.