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without density it would be pretty hard for air to exist.

Here is a breakdown:

first of all we know air exists, and that it exists in 3 dimentions of space.
In order for something to exist there must be space in which it can exist, this is Volume (V).

Since air is a form of matter, it must have mass (m)

we now have two variables which define air's presence, m and V, mass of air (m), and the space it inhabits, (V).

since so much mass has to exist in a certain amount of space, the relationship between mass and space is proportional. You will have so many kilograms of air in so many meters cubed of space. Just as you have 12 eggs in 1 carton, or 4 tires per car, density tells you how many Kg of air per meter cubed. (in metric)

density = m/V

bottom line: any mass will have density, because it occupies space, and density simply represents how much mass is occupying how much space.

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