Density Calculator

How to Calculate Density, Mass, and Volume

Density, mass, and volume are fundamental concepts in physics and materials science that describe the properties of matter. This calculator helps you determine any one of these properties when you know the other two.

What are the Formulas?

The basic formulas relating density, mass, and volume are:

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

\[ m = \rho V \]

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

Where:

• ρ (rho) is the density (typically measured in kg/m³ or g/cm³)
• m is the mass (typically measured in kg or g)
• V is the volume (typically measured in m³ or cm³)

What are the calculation steps?

1. Identify which two variables you know and which one you need to calculate.
2. Ensure all units are consistent (convert if necessary).
3. Apply the appropriate formula based on what you're calculating.
4. Perform the calculation to get your result.

Example Calculation

Let's calculate the density of a material:

Given:

• Mass (m) = 100 g
• Volume (V) = 50 cm³

Step 1: Identify the formula

We need to calculate density, so we'll use: ρ = m / V

Step 2: Convert units (if necessary)

In this case, we'll keep the units as they are, but note that the final density will be in g/cm³.

Step 3: Plug in the values

ρ = 100 g / 50 cm³

Step 4: Perform the calculation

ρ = 2 g/cm³

Therefore, the density of the material is 2 grams per cubic centimeter.

Diagram of Density, Mass, and Volume Relationship

The following diagram illustrates the relationship between density, mass, and volume:

This diagram shows the interrelationship between density, mass, and volume. Density is represented as the ratio of mass to volume, illustrating how these three properties are connected in describing the characteristics of matter.