Density Calculator

Quickly compute density, mass, or volume using the formula ρ = m/V. Supports multiple units (kg/m³, g, L, etc.) with automatic conversion. Perfect for material science, fluid mechanics, and everyday use.

Enter values and click Calculate

Understanding Density and Its Applications

Density (ρ) is a measure of how much mass is contained in a given volume. The relationship is: Density (ρ) = Mass (m) / Volume (V), Mass (m) = Density (ρ) × Volume (V), Volume (V) = Mass (m) / Density (ρ). This calculator lets you solve for any one variable when the other two are known. It automatically converts mass units (kg, g, lb) to kilograms and volume units (m³, L, cm³) to cubic meters before performing the calculation, so you can mix units freely. Ideal for identifying materials, checking buoyancy, or preparing solutions.

Formula

\rho = \frac{m}{V} \qquad m = \rho \times V \qquad V = \frac{m}{\rho}

How to Use?

Select what you want to find: density, mass, or volume.
Enter the two known values. For example, to find density, provide mass and volume; to find mass, provide density and volume; to find volume, provide mass and density.
Choose the appropriate units for mass and volume from the dropdowns. The calculator automatically converts to base units (kg and m³) for the calculation.
The result is shown with the correct unit.

Worked Examples

Find density of a 5 kg object with volume 0.002 m³

Given:inputs

Solve for:Density ρ = m / V

Mass (m):5

Mass unit:kg

Volume (V):0.002

Volume unit:m³

Result:calculated

Result:2500 kg/m³

Find mass of 0.5 L of water (density 1000 kg/m³)

Given:inputs

Solve for:Mass m = ρ × V

Density ρ (kg/m³):1000

Volume (V):0.5

Volume unit:L

Result:calculated

Result:0.5 kg

Find volume of 10 kg of aluminum (density 2700 kg/m³)

Given:inputs

Solve for:Volume V = m / ρ

Mass (m):10

Mass unit:kg

Density ρ (kg/m³):2700

Result:calculated

Result:0.003704 m³

What is Density?

Density is a physical property that describes how tightly matter is packed. It is defined as mass per unit volume. Materials with high density feel heavy for their size (like lead), while low‑density materials feel light (like cork).

Unit Conversions Made Easy

You can enter mass in kilograms, grams, or pounds, and volume in cubic meters, liters, or cubic centimeters. The calculator converts everything to kg and m³ internally, so the result is always in standard SI units (kg/m³ for density, kg for mass, m³ for volume).

Real‑World Applications

Density is used to identify materials, determine if an object will float (density less than water), calculate buoyant forces, and in many engineering fields like fluid dynamics and materials science.

Table: Densities of Common Materials (kg/m³)

Material	Density (kg/m³)
Water (4°C)	1000
Aluminum	2700
Iron	7870
Gold	19320
Air (20°C, 1 atm)	1.204

FAQs

Why is density important?

Density helps identify substances, predict buoyancy, and is crucial in fields like engineering, geology, and medicine. For example, a material with density lower than water will float.

Can I use this calculator for gases?

Yes, as long as you have the mass and volume for the gas under the given conditions. Remember that gas density changes with temperature and pressure; this calculator assumes the values are already at the conditions of interest.

What is the density of water in different units?

At 4°C, water has a density of 1000 kg/m³, 1 g/cm³, or 1 kg/L. This calculator handles all three automatically.