Density Calculator

What is Density?

Density is a fundamental physical property of matter that describes how much mass is contained in a given volume. It is a measure of how tightly packed the particles of a substance are.

How to Calculate Density

To calculate density, follow these steps:

1. Measure the mass of the object
2. Measure the volume of the object
3. Divide the mass by the volume

Formula

The formula for density is:

\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

Where:

• \(\text{Density}\) is typically measured in kg/m³ or g/cm³
• \(\text{Mass}\) is measured in kg or g
• \(\text{Volume}\) is measured in m³ or cm³

Calculation Steps

Let's calculate the density of an object with:

• Mass = 300 g
• Volume = 100 cm³

1. Apply the density formula: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
2. Substitute the known values: \[ \text{Density} = \frac{300 \text{ g}}{100 \text{ cm³}} \]
3. Calculate the result: \[ \text{Density} = 3 \text{ g/cm³} \]

Example and Visual Representation

Let's visualize density with our example:

This visual representation shows:

• Object A with a higher density (3g/cm³)
• Object B with a lower density (2g/cm³)
• Both objects have the same mass, but different volumes
• The object with smaller volume (A) has higher density

This example demonstrates how density relates mass and volume. Objects with the same mass can have different densities if their volumes differ. The object with higher density (A) has its mass packed into a smaller volume compared to the object with lower density (B).