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About This Calculator
Density is the ratio of mass to volume and serves as a fingerprint property for identifying materials, predicting buoyancy, and ensuring quality control in manufacturing. This calculator solves for density, mass, or volume when the other two values are known, with support for a wide range of measurement units. Engineers use density calculations to select appropriate materials, verify alloy compositions, and design objects that must float, sink, or achieve neutral buoyancy.
Quick Tips
- 1 Water's density is 1 g/cm3 — use it as a quick reference for comparisons.
- 2 Measure irregular objects by water displacement to find volume for density.
- 3 Temperature changes density; always note the temperature of your measurement.
Example Calculation
Metal block: 1,350 grams, dimensions 5cm x 6cm x 4cm.
Volume: 120 cm3 | Density: 11.25 g/cm3 | Close to lead (11.34) — likely lead alloy
The Density Formula
Density equals mass divided by volume (D = m/V). The standard unit is grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³). Water has a density of 1.0 g/cm³, making it a convenient reference point.
Common Material Densities
Water: 1.0 g/cm³, Aluminum: 2.7, Iron: 7.87, Copper: 8.96, Lead: 11.34, Gold: 19.32, Wood (oak): 0.6-0.9, Ice: 0.917. Objects with density less than water float; those with greater density sink.
Density in Science and Engineering
Density is used to identify unknown substances, determine buoyancy, calculate structural loads, and design materials. In geology, density helps identify minerals. In engineering, it determines whether materials will float or how much they weigh.
Converting Density Units
To convert g/cm³ to kg/m³, multiply by 1,000. To convert to lb/ft³, multiply g/cm³ by 62.428. This calculator provides the result in g/cm³ and also shows comparisons to familiar materials for context.
Frequently Asked Questions
Pure water at 4 degrees Celsius has a density of exactly 1.0 g/cm³ (1,000 kg/m³). This value changes slightly with temperature: warm water is less dense, and cold water is slightly more dense (until freezing).
Use the water displacement method. Fill a graduated cylinder with a known volume of water, submerge the object, and note the new volume. The difference equals the object volume in milliliters, which equals cubic centimeters.
If the density is less than 1.0 g/cm³, the object will float in water. If the density is greater than 1.0, it will sink. For example, wood (0.6-0.9) floats, while iron (7.87) sinks.
Osmium is the densest naturally occurring element at 22.59 g/cm³, slightly denser than iridium at 22.56 g/cm³. For comparison, gold is 19.32 g/cm³ and lead is 11.34 g/cm³.