P = M / V · PHYSICS · MATERIALS

Density Calculator

Solve for density, mass, or volume using ρ = m/V. Choose from 30+ materials, check specific gravity, and instantly see if an object floats or sinks.

ρ=m/V

Formula

3

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30+

Materials

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Buoyancy

Density Calculator

Solve for any variable

Units

ρ = m ÷ V

Density Result

2.5g/cm³

2,500

kg/m³

156.07

lb/ft³

SG 2.5🔴 Sinks in water

Material Library · Click to prefill density

REFERENCE DATA

Density of Common Materials

At standard temperature and pressure (STP) unless noted.

MaterialDensity (g/cm³)CategoryNotes
Osmium22.59MetalDensest naturally occurring element
Iridium22.56MetalPlatinum group metal
Gold19.3MetalPure 24k gold
Lead11.34MetalCommon in shielding
Steel7.85MetalMild steel, varies by alloy
Iron7.87MetalPure iron
Copper8.96MetalPure copper
Aluminum2.7MetalPure; alloys vary slightly
Water (4°C)1LiquidMaximum density point
Water (25°C)0.997LiquidRoom temperature
Seawater1.025LiquidAverage salinity
Ice (0°C)0.917LiquidFloats on liquid water
Mercury13.534LiquidAt room temp, toxic
Concrete2.4MasonryTypical reinforced
Granite2.75MasonryTypical range 2.6–2.9
Oak Wood0.73OrganicHardwood; floats
Balsa Wood0.13OrganicVery low density wood
Human Body0.985OrganicAverage; just below water
Air (sea level)0.0012GasAt 20°C, 1 atm
Hydrogen0.0000899GasLightest element

💡 Why Steel Ships Float — Archimedes' Principle

Steel has a density of ~7.85 g/cm³ — far denser than water. Yet a steel ship floats because its overall density (steel plus a hollow, air-filled interior) works out to less than 1 g/cm³. A ship floats when it displaces water weighing more than the ship itself; this is Archimedes' principle — buoyant force equals the weight of fluid displaced.

Specific Gravity

Specific gravity (SG) is the ratio of a substance's density to the density of pure water (1 g/cm³). SG equals the density numerically when expressed in g/cm³.

  • SG < 1: Floats in water (oil, ice, plastics like polyethylene).
  • SG > 1: Sinks in water (metals, most stones, concrete).
  • SG ≈ 1: Neutrally buoyant (the average human body is close to 1).

Temperature & Density

For most materials, density decreases as temperature increases — thermal expansion increases volume while mass stays constant. Gases are highly sensitive; liquids less so; solids very little.

Water is a notable exception: density peaks at 4°C, becoming less dense both above and below — this is why ice floats. For gases, the ideal gas law (PV = nRT) accounts for temperature and pressure effects on density.

How to Calculate Density, Mass, and Volume

Density is a fundamental physical property of matter — the ratio of mass to volume. The density formula can be rearranged to solve for any of the three variables when the other two are known.

🧮 The Three Density Formulas

Density: ρ = m ÷ V  |  where ρ (rho) = density in g/cm³ or kg/m³, m = mass in g or kg, V = volume in cm³ or m³Example — find density: Mass = 250 g, Volume = 100 cm³ → ρ = 250 ÷ 100 = 2.50 g/cm³Find mass: m = ρ × V  |  Example (copper): m = 8.96 g/cm³ × 100 cm³ = 896 gFind volume: V = m ÷ ρ  |  Example (gold): V = 19.3 g ÷ 19.3 g/cm³ = 1.00 cm³

🔄 Unit Conversion for Density

1 g/cm³ = 1 g/mL = 1000 kg/m³ = 62.428 lb/ft³ = 0.036127 lb/in³Common conversions: kg/m³ ÷ 1000 = g/cm³  |  g/cm³ × 62.428 = lb/ft³  |  lb/ft³ × 16.018 = kg/m³

🧪 Measuring Volume of Irregular Objects (Water Displacement)

For objects with complex shapes, use Archimedes' water displacement method: fill a graduated cylinder to a known level, fully submerge the object, and read the new water level. The difference equals the object's volume. Example: water level rises from 50.0 mL to 73.5 mL → object volume = 23.5 cm³. This method works for objects that don't absorb water and are dense enough to sink (or can be gently forced below the surface).

Density in Science, Engineering & Everyday Life

Material Identification

Every substance has a characteristic density. Measuring an unknown metal's density and comparing it to known values can identify it with high accuracy. Gold (19.3 g/cm³), silver (10.49 g/cm³), and lead (11.34 g/cm³) have distinctive densities — this principle has been used to detect counterfeit metals since ancient times. Archimedes reportedly used water displacement to prove a crown was not pure gold.

Buoyancy and Fluid Dynamics

An object floats when its average density is less than the fluid it's placed in. This is why hot air balloons rise (hot air is less dense than the cooler air surrounding it), and why submarines control buoyancy by flooding or emptying ballast tanks. Seawater (1.025 g/cm³) is denser than fresh water, so objects float more easily in the ocean — a human floats even more easily in the Dead Sea (about 1.24 g/cm³) due to its extreme salinity.

Construction and Engineering

Engineers use density to calculate structural loads — a concrete slab's weight from its volume and density — select materials for weight-sensitive applications (aluminum vs. steel in aerospace), and design foundations. Soil density, measured as bulk density, determines load-bearing capacity and is critical in civil engineering; a typical site investigation measures dry bulk density and moisture content to assess compaction.

Population Density

Density applies beyond the physical sciences too: population density equals total population divided by land area. Monaco has the world's highest at roughly 26,000 people/km², while Mongolia sits among the lowest at under 2 people/km². Cities use population density to plan infrastructure, transportation, housing, and public services — dense urban areas like Manhattan (over 27,000/km²) require fundamentally different infrastructure than low-density suburbs.

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