Density (:
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The amount of matter is given space is mass.
Volume; mass is a measure of the amount of matter, and volume is a measure of the amount of space.
No, mass is not the amount of matter in a given space. It is actually density.
This is a very unspecific question, the amount of matter in a given space depends on what's in that space, and how much of it there is (as well as how dense it is).
Density.