# Density Calculator (ρ = m/V)

Calculate density from mass and volume using ρ = m/V. Results in kg/m³ and g/cm³. Free physics calculator for students and engineers.

## What this calculates

Density measures how much mass is packed into a given volume. Defined by the equation ρ = m/V (the Greek letter rho equals mass divided by volume), density is a fundamental physical property used to identify materials, predict buoyancy, and solve countless engineering and science problems.

## Inputs

- **Mass** (kg) — min 0
- **Volume** (m³) — min 0

## Outputs

- **Density** (kg/m³) — Density in kilograms per cubic meter
- **Density** (g/cm³) — Density in grams per cubic centimeter

## Details

The density formula ρ = m/V gives you the mass per unit volume of a substance. It is one of the most commonly used relationships in physics, chemistry, and engineering.

  - Density (ρ) is measured in kg/m³ (SI) or g/cm³ (CGS)

  - Mass (m) is measured in kilograms (kg)

  - Volume (V) is measured in cubic meters (m³)

Common reference densities: water is approximately 1,000 kg/m³ (1 g/cm³), air at sea level is about 1.225 kg/m³, iron is 7,874 kg/m³, and gold is 19,320 kg/m³.

Density determines whether an object floats or sinks. If an object's density is less than the fluid it is placed in, it floats. This principle is the basis of Archimedes' principle and is essential in shipbuilding, hot-air ballooning, and materials science.

## Frequently Asked Questions

**Q: What is density?**

A: Density is the mass per unit volume of a substance, expressed as ρ = m/V. It tells you how tightly matter is packed together in a given space.

**Q: How do I convert kg/m³ to g/cm³?**

A: Divide by 1,000. For example, water has a density of 1,000 kg/m³, which equals 1 g/cm³.

**Q: Why does density matter?**

A: Density determines buoyancy (whether objects float or sink), helps identify unknown materials, is used in quality control, and is essential in engineering for calculating loads and material requirements.

**Q: Does temperature affect density?**

A: Yes. Most materials expand when heated, increasing volume while mass stays constant, so density decreases. Water is unusual because it reaches maximum density at about 4°C.

**Q: What is the densest naturally occurring element?**

A: Osmium is the densest naturally occurring element at approximately 22,590 kg/m³ (22.59 g/cm³), slightly denser than iridium.

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Source: https://vastcalc.com/calculators/physics/density
Category: Physics
Last updated: 2026-04-21