Density is a measure of how much mass is contained in a given unit volume (density = mass/volume). It is usually expressed in kg/m^3, so you would say that a cube 2 meters on each side with a mass of 1600 kg has a density of 1600kg/8m^3 (2000 kg/m^3). Put simply, if mass is a measure of how much ‘stuff’ there is in an object, density is a measure of how tightly that ‘stuff’ is packed together.
One of the ways we can see density illustrated in everyday life is by looking at whether things float or sink in a liquid (water, for example). If an object is less dense than the liquid it is placed in, it will float. If it is more dense, it will sink. This is why an anchor, which is very dense (lots of mass in a relatively small volume) sinks very quickly, while an inner tube (not much mass in a relatively large volume) floats and is very difficult to push underwater.
Some elements are naturally found in very dense forms, and one of the most visually surprising demonstrations of the concept of a less dense object floating on a denser liquid occurs when objects are put in a container of liquid mercury (Hg). This element is a metal that is liquid at room temperature, and it is VERY dense. In fact, it is denser than lead, and metal objects like forks, coins, or even a cannonball will float on top of it!
source: windows to the universe