Density Calculator (Mass, Volume, Density)
Choose what to solve for, enter the other two values, or pick a material to use its typical density.
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Formula
ρ = m / V, so m = ρ × V and V = m / ρ
- ρ is density in kg/m³, m is mass in kg and V is volume in m³.
- 1 g/cm³ = 1000 kg/m³, 1 L = 0.001 m³, 1 lb = 0.45359237 kg, 1 ft³ = 0.028316847 m³, so 1 lb/ft³ = 16.018463 kg/m³.
Reference densities (kg/m³)
| Material | Density |
|---|---|
| Air (sea level, 15 °C) | 1.225 |
| Oak wood | 750 |
| Ice | 917 |
| Water | 1000 |
| Aluminium | 2700 |
| Steel | 7850 |
| Iron | 7874 |
| Copper | 8960 |
| Silver | 10,490 |
| Lead | 11,340 |
| Mercury | 13,595.1 |
| Gold | 19,320 |
Worked example
13.5 kg occupying 5 L (0.005 m³):
ρ = 13.5 / 0.005 = 2700 kg/m³
That is 2.7 g/cm³ or 168.56 lb/ft³, the density of aluminium.
Frequently asked questions
What is the density formula?
Density is mass divided by volume: ρ = m / V. A block of 13.5 kg that fills 5 L (0.005 m³) has a density of 13.5 / 0.005 = 2700 kg/m³, the density of aluminium.
How do I find mass or volume from density?
Rearrange: m = ρ × V and V = m / ρ. Two litres of iron (7874 kg/m³) have a mass of 7874 × 0.002 = 15.748 kg. One kilogram of gold fills 1 / 19,320 m³, about 0.0518 L.
How do I convert g/cm³ to kg/m³?
Multiply by 1000. Water is 1 g/cm³ = 1000 kg/m³, and gold is 19.32 g/cm³ = 19,320 kg/m³. To get lb/ft³ from kg/m³, divide by 16.018463.
Are the material densities exact?
No. They are typical values near room temperature. Alloys, wood species, purity and temperature change the real figure, so use a measured value for precise work.