Density converter for materials and liquids
This density converter switches between ten mass-per-volume units, metric and US customary. Density tells you how much mass fits in a given volume, and it is the bridge between weighing something and measuring its volume.
Metric units that are secretly equal
Several metric density units have identical values, which is worth knowing before you convert anything:
- g/cm³ = g/mL = kg/L, because 1 mL is 1 cm³ and 1 kg/L scales both mass and volume by 1000.
- kg/m³ = g/L, for the same reason one step down.
- Between the two groups the factor is 1000: 1 g/cm³ = 1000 kg/m³.
So a steel density of 7.85 g/cm³ is also 7.85 kg/L and 7850 kg/m³. Milligrams per liter (mg/L) are 1000 times smaller than g/L and are used for dissolved substances in water, where 1 mg/L is roughly one part per million by mass.
Examples
0.997 gcm3 = 997 kgm3 water near 25 °C
0.997 gcm3 = 8.320368239 lbgal
7.85 gcm3 = 490.0594905 lbft3 carbon steel
7.85 gcm3 = 0.2835992422 lbin3
1.225 kgm3 = 0.07647425171 lbft3 sea-level air
19.3 gcm3 = 11.15610777 ozin3
The US customary units are based on the avoirdupois pound and the US gallon, so "lb/gal" here means pounds per US gallon. A figure quoted per imperial gallon would be about 20% higher for the same liquid.
Using density
With density you can move between mass and volume: mass = density × volume, and volume = mass ÷ density. For example, 2 liters of a liquid at 0.92 g/mL has a mass of 1840 g. Convert the volume with the volume converter and the mass with the mass converter so all three quantities share compatible units first.
Typical densities for reference
Handy for a quick sanity check. Values are approximate and vary with temperature and composition; 1 g/cm³ equals about 62.43 lb/ft³.
| Material | g/cm³ | lb/ft³ |
|---|---|---|
| Gasoline | ≈ 0.74 | ≈ 46.2 |
| Ice | 0.917 | 57.2 |
| Water (4 °C) | 1.000 | 62.4 |
| Aluminum | 2.70 | 168.6 |
| Copper | 8.96 | 559.4 |
| Lead | 11.34 | 707.9 |
Worked example: a steel plate of 1 m × 0.5 m × 10 mm has a volume of 0.005 m³. At 7850 kg/m³ it weighs 7850 × 0.005 = 39.25 kg. Keep every length in meters before multiplying, or the result will be off by a power of ten.
Specific gravity
Specific gravity is density relative to water, so it has no unit. Because water is close to 1 g/cm³, the specific gravity of a liquid is numerically very close to its density in g/cm³. The match is not exact: water's density changes with temperature, and standards specify the reference temperature.
Common mistakes
- Swapping kg/m³ and g/cm³, which is a factor of 1000.
- Mixing US and imperial gallons in lb/gal figures.
- Forgetting that gas densities depend strongly on pressure and temperature.