Density Calculator

Calculate density, mass, or volume of a substance using the density formula ρ = m/V.

g
cm³

Understanding Density

Density is a fundamental physical property that describes how much mass is contained within a given volume. It is defined as the ratio of an object's mass to its volume, expressed as ρ = m / V. Density determines whether an object floats or sinks in a fluid and is a key quantity in physics, chemistry, engineering, and material science.

Key Formulas

  • ρ = m / V — Density equals mass divided by volume
  • m = ρ × V — Mass equals density times volume
  • V = m / ρ — Volume equals mass divided by density

Densities of Common Materials

Liquids

  • • Water: 1.00 g/cm³ (at 4 °C)
  • • Ethanol: 0.789 g/cm³
  • • Seawater: 1.025 g/cm³
  • • Mercury: 13.53 g/cm³

Metals

  • • Aluminum: 2.70 g/cm³
  • • Iron: 7.87 g/cm³
  • • Copper: 8.96 g/cm³
  • • Gold: 19.32 g/cm³

Solids

  • • Ice: 0.917 g/cm³
  • • Wood (oak): 0.75 g/cm³
  • • Glass: 2.5 g/cm³
  • • Concrete: 2.4 g/cm³

Gases (at 0 °C, 1 atm)

  • • Air: 0.001293 g/cm³
  • • Helium: 0.0001786 g/cm³
  • • Carbon dioxide: 0.001977 g/cm³
  • • Hydrogen: 0.0000899 g/cm³

Real-World Examples

Density calculations are used in shipbuilding, metallurgy, cooking, and material identification. Here are some practical applications:

  • A 200 g object occupying 50 cm³ has a density of 4 g/cm³
  • A gold bar of 1,000 cm³ (density 19.32 g/cm³) has a mass of 19.32 kg
  • Objects with a density below 1.00 g/cm³ float in fresh water
  • 250 g of olive oil (density 0.92 g/cm³) occupies about 272 cm³

References

The formulas and reference values used in this calculator are based on established physics principles and verified sources:

Note: This calculator assumes uniform density and ideal conditions. Real materials may vary in density due to temperature, pressure, purity, and porosity. Ensure mass and volume use consistent units; the default outputs assume mass in grams and volume in cubic centimeters (g/cm³).