Density Calculator: Mass and Volume

What is Density?

Density is a fundamental physical property of matter that describes how much mass is contained within a given volume. It is a measure of how tightly packed the particles of a substance are. Density plays a crucial role in various scientific fields, including physics, chemistry, and engineering.

Formula

The formula for density is:

\[ \rho = \frac{m}{V} \]

Where:

• \( \rho \) (rho) is the density (typically in kg/m³)
• \( m \) is the mass of the object (in kg)
• \( V \) is the volume of the object (in m³)

Calculation Steps

Let's calculate the density of an object:

1. Given:
   • Mass (\( m \)) = 150 kg
   • Volume (\( V \)) = 0.1 m³
2. Apply the density formula: \[ \rho = \frac{m}{V} \]
3. Substitute the known values: \[ \rho = \frac{150 \text{ kg}}{0.1 \text{ m³}} \]
4. Perform the calculation: \[ \rho = 1500 \text{ kg/m³} \]

Example and Visual Representation

Let's visualize the concept of density with different materials:

This diagram illustrates:

• Different materials with varying densities
• The relationship between volume and density (smaller volumes for denser materials with the same mass)
• Common materials and their approximate densities