c, placed before other abbreviations is an abbreviation for centi-, meaning one hundredth.
However in the case of liquid volumes, 'c' is an abbreviation for cubic or cubed.
Therefore cm3 or cc is an abbreviation for centimetre cubed or cubic centimetre respectively. That is, a volume of a cube whose three sides are a centimetre long.
Therefore 1 cm3 is one millionth (1/1,000,000) of a cubic metre (m3) - because 1 m3 = 100 cm 100 cm 100 cm = 1,000,000 cm3 or cc
Alternatively, one can use the unit ml instead of cm3 or cc.
In fact, to be academically correct, if you are using the SI system, the unit you should use is ml.