Density Calculator

This calculator allows you to use the density formula to solve for mass, volume, or density when the other two values are known.

The relationship between these variables is expressed by the formula:

\rho = \frac{m}{V}

Where:

ρ = Density
m = Mass
V = Volume

How to Use This Calculator

Select the variable you want to solve for (density, mass, or volume) using the dropdown menu.
Enter the known values for the other two variables.
The calculator will compute the missing variable using the density equation.

Understanding Density

Density is a measure of how much mass is contained in a given volume. It reflects how compact or concentrated a substance is. The standard SI unit of density is kilograms per cubic meter (kg/m³), but other units such as g/cm³ or lb/ft³ are commonly used in specific contexts.

The formula for density comes from rearranging the relationship between mass and volume:

\rho=\frac{m}{V}

From this equation, we can also derive:

To find mass: $m=\rho V$
To find volume: $V=\frac{m}{\rho}$

Applications of Density

Density is used in a wide range of disciplines including chemistry, physics, engineering, and material science. It plays a key role in:

Identifying substances (e.g., gold vs. lead)
Designing objects that float or sink
Measuring fluid concentrations and properties
Calculating buoyant forces and pressure in fluids

By understanding how density interacts with mass and volume, you can solve many practical and theoretical problems in science and engineering.