Density Calculatorρ = m ÷ V · mass · volume · will it float?

Solve density, mass or volume in any units, measure volume from a shape or by water displacement, then identify the likely material.

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How do you calculate density?

Density is mass divided by volume: ρ = m ÷ V. A 270 g block measuring 10 × 5 × 2 cm has a volume of 100 cm³, so its density is 270 ÷ 100 = 2.70 g/cm³ (2,700 kg/m³), the density of aluminium. It sinks in water, which is 1.00 g/cm³.

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Density formulas and unit conversions

To findFormulaExample
Densityρ = m ÷ V270 g ÷ 100 cm³ = 2.70 g/cm³
Massm = ρ × V0.789 g/mL × 250 mL = 197 g ethanol
VolumeV = m ÷ ρ1 kg ÷ 19.3 g/cm³ = 51.8 cm³ gold
Specific gravitySG = ρ ÷ ρwater1.26 g/mL glycerin → SG 1.26
Fraction submergedρobject ÷ ρfluidice in seawater: 917 ÷ 1025 = 89%

1 g/cm³ = 1 g/mL = 1 kg/L = 1,000 kg/m³ = 62.43 lb/ft³ = 0.03613 lb/in³.

Density of common materials

Typical values near 20 °C and 1 atm. Natural materials such as wood and stone vary by sample.

Materialkg/m³g/cm³In water

Density FAQs

Density equals mass divided by volume: ρ = m ÷ V. Rearranged, mass m = ρ × V and volume V = m ÷ ρ.

Weigh the object, measure its volume, then divide. A 270 g block measuring 10 × 5 × 2 cm (100 cm³) has a density of 270 ÷ 100 = 2.70 g/cm³, which matches aluminium.

Pure water is about 1,000 kg/m³ (1.000 g/cm³) near 4 °C and 998 kg/m³ at 20 °C. Seawater averages about 1,025 kg/m³.

Multiply by 1,000. 2.70 g/cm³ = 2,700 kg/m³. One g/cm³ is also exactly 1 g/mL and 1 kg/L.

Use water displacement. Read the water level in a measuring cylinder, submerge the object, read again; the difference in mL is the object's volume in cm³.

Multiply them: m = ρ × V. A 2 L bottle of olive oil (911 kg/m³) holds 0.911 × 2 = 1.82 kg of oil.

An object floats if its average density is lower than the fluid's. The fraction under the surface equals its density divided by the fluid's density: ice (917 kg/m³) floats about 89% submerged in seawater.

Specific gravity is density divided by the density of water, so it has no units. Gold has a specific gravity of about 19.3, meaning it is 19.3 times denser than water.

Osmium, at about 22,590 kg/m³, narrowly ahead of iridium. Among everyday metals, gold (19,300) and lead (11,340) are very dense.

Yes. Most materials expand when heated, so their density falls. Water is unusual: it is densest at about 4 °C, which is why ice floats and lakes freeze from the top.

Density converts between weight and volume. Liquid ingredients such as glycerin (about 1.26 g/mL) or ethanol (0.789 g/mL) are often weighed for accuracy and then expressed as a volume, or vice versa.

Multiply by 16.0185. Water's 62.4 lb/ft³ equals about 1,000 kg/m³.

Sources

  1. OpenStax University Physics Volume 1, Section 14.1: Fluids, Density, and Pressure
  2. OpenStax University Physics Volume 1, Section 14.4: Archimedes' Principle and Buoyancy
  3. USGS Water Science School: Water Density
  4. NIST SP 811: Unit conversion factors
  5. Royal Society of Chemistry: Periodic Table (element densities)

Material densities are typical reference values; real samples vary with composition, porosity and temperature. A density match suggests, but does not prove, what a material is.