**Dimensional Formula of Density**

In this article, we will find the dimension of density

Dimensional formula for density is

$[M^1 L^{-3}]$

Where

M -> Mass

L -> Length

We would now derive this dimensional formula.

### Derivation for expression of Dimension of Density

Density is defined as the mass per unit Volume

$\rho= \frac {mass}{Volume} = \frac {m}{V}$

Now the dimension of Mass = $[M^1]$

Now Dimension of Volume = $ [L^3]$

Hence Dimension of Density is given by

$\text {Dimension of Density}= \frac {[M^1]} {[L^3]} = [M^1 L^{-3}]$

Unit of Density is $kg/m^3$

Try the free Quiz given below to check your knowledge of Dimension Analysis:-

**Quiz on Dimensional Analysis**

**Related Articles and references**

- New Simplified Physics by SL Arora : I highly recommend this book for class 11 Physics students. It is easy to understand with lots of solved problems.
- Dimensional Analysis:- a very good website for physics concepts
- Dimensional Formula of Work
- Dimensional Formula of Spring constant
- Dimension of Force

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