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
Solve Modes
30+
Materials
Float?
Buoyancy
Density Calculator
Solve for any variable
Units
Density Result
2.5g/cm³
2,500
kg/m³
156.07
lb/ft³
Material Library · Click to prefill density
REFERENCE DATA
Density of Common Materials
At standard temperature and pressure (STP) unless noted.
| Material | Density (g/cm³) | Category | Notes |
|---|---|---|---|
| Osmium | 22.59 | Metal | Densest naturally occurring element |
| Iridium | 22.56 | Metal | Platinum group metal |
| Gold | 19.3 | Metal | Pure 24k gold |
| Lead | 11.34 | Metal | Common in shielding |
| Steel | 7.85 | Metal | Mild steel, varies by alloy |
| Iron | 7.87 | Metal | Pure iron |
| Copper | 8.96 | Metal | Pure copper |
| Aluminum | 2.7 | Metal | Pure; alloys vary slightly |
| Water (4°C) | 1 | Liquid | Maximum density point |
| Water (25°C) | 0.997 | Liquid | Room temperature |
| Seawater | 1.025 | Liquid | Average salinity |
| Ice (0°C) | 0.917 | Liquid | Floats on liquid water |
| Mercury | 13.534 | Liquid | At room temp, toxic |
| Concrete | 2.4 | Masonry | Typical reinforced |
| Granite | 2.75 | Masonry | Typical range 2.6–2.9 |
| Oak Wood | 0.73 | Organic | Hardwood; floats |
| Balsa Wood | 0.13 | Organic | Very low density wood |
| Human Body | 0.985 | Organic | Average; just below water |
| Air (sea level) | 0.0012 | Gas | At 20°C, 1 atm |
| Hydrogen | 0.0000899 | Gas | Lightest 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.
— FAQ