Density

Definition

The density of a body or material is defined as the mass per unit volume. In other words, the density $\rho$ is given by:

$\rho ={\frac {dm}{dV}}$

where $dm$ is a mass differential and $dV$ is a volume differential. In other words, it is:

$\rho ={\frac {\partial ^{3}m}{\partial x\partial y\partial z}}$

The main factors affecting density are the nature of material, the temperature, and the pressure.

Units and dimensions

Question	Answer
Scalar or vector?	Scalar
MLT dimensions	$ML^{-3}$: MLT;1;-3;0
SI units	$kg/m^{3}$