Density Calculator

Calculate density, mass, or volume using ρ = m/V. Enter any two values to solve for the third. Includes a reference table of common material densities.

Density

2.5000 g/cm³

Mass

10.00 g

Volume

4.00 cm³

What Is Density?

Density is a fundamental physical property defined as mass per unit volume: ρ = m/V. It describes how tightly packed the matter in a substance is. Density is intrinsic — it does not change based on the amount of material. A gold bar and a gold ring have the same density (19.32 g/cm³), even though they have different masses and volumes.

Common Material Densities

MaterialDensity (g/cm³)Floats in Water?
Water (4°C)1 g/cm³✓ Yes
Wood (Oak)0.75 g/cm³✓ Yes
Wood (Pine)0.5 g/cm³✓ Yes
Ice0.917 g/cm³✓ Yes
Gasoline0.75 g/cm³✓ Yes
Air (at STP)0.001225 g/cm³✓ Yes

Applications of Density

  • Buoyancy: Objects with density less than the fluid float; greater density sinks
  • Material identification: Density helps identify unknown substances
  • Quality control: Manufacturing uses density to check material purity and consistency
  • Meteorology: Air density affects weather patterns and flight performance

What Density Is and Why It Matters

Density, defined as mass per unit volume (ρ = m/V), is one of the most fundamental properties of matter. It determines whether an object floats or sinks, helps identify unknown materials, and is critical in engineering design. A ship made of steel floats because its overall density (including the air inside) is less than water. Density is an intensive property — it does not change regardless of how much material you have. A drop of water and a lake both have the same density of 1 g/cm³.

Density of Common Materials

MaterialDensity (g/cm³)Notes
Water (4°C)1.00Reference standard for density
Air (at STP)0.0012Very low density, almost 800x less than water
Gold19.30One of the densest naturally occurring metals
Aluminum2.70Lightweight, widely used in aerospace
Gasoline0.75Floats on water, less energy per volume than diesel
Mercury13.53Dense liquid metal, used in barometers

Real-World Applications of Density

  • Ship buoyancy: A steel ship floats because its average density (steel + air) is less than water. Displacing enough water creates buoyant force equal to the ship's weight.
  • Material identification: Archaeologists and gemologists measure density to identify unknown materials and detect forgeries. Gold's density of 19.3 g/cm³ is nearly twice that of lead at 11.3 g/cm³.
  • Quality control: Manufacturers measure density to check material purity and consistency. A density variation in metal parts can indicate air bubbles or impurities.
  • Battery technology: Energy density (Wh/kg) determines how much energy a battery can store per unit weight, directly affecting EV range and portable electronics performance.

How to Measure Density in the Lab

To measure density, you need to determine both mass and volume. Mass is measured using a balance or scale. For regularly shaped objects, volume is calculated from geometric measurements (length × width × height for a rectangular prism). For irregularly shaped objects, use water displacement: submerge the object in a graduated cylinder and measure the volume of water displaced. Density is then calculated as mass divided by volume. For liquids, use a graduated cylinder to measure volume and a scale to measure mass, then divide.

Frequently Asked Questions

What is density?
Density is a measure of how much mass is contained in a given volume. The formula is ρ = m/V, where ρ is density, m is mass, and V is volume. Density is typically expressed in g/mL, g/cm³, or kg/m³. Water has a density of 1.0 g/mL at 4°C, which serves as a convenient reference point — substances with density less than 1 float in water.
How do I calculate density from mass and volume?
Density is calculated by dividing mass by volume: ρ = m/V. For example, if an object has a mass of 50 grams and a volume of 20 cm³, its density is 50 ÷ 20 = 2.5 g/cm³. This calculator can solve for any of the three variables — just enter the two values you know.
What is specific gravity and how does it relate to density?
Specific gravity is the ratio of a substance's density to the density of water (1 g/mL). It is a dimensionless number. For example, gold has a specific gravity of 19.3, meaning it is 19.3 times denser than water. Specific gravity is commonly used in hydrometers, battery testing, and quality control of liquids.
Why does ice float on water if it's also H₂O?
Ice floats because it is less dense than liquid water. When water freezes, its molecules form a crystalline structure that takes up more space (expands by about 9%), reducing its density to 0.917 g/mL compared to liquid water at 1.0 g/mL. This unusual property is why ice forms on top of lakes and ponds, insulating the water below and allowing aquatic life to survive winter.

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