Is 1 mL = 1 cm3 (that's cm cubed)?

My chem prof told us 1 L = 1 dm3 = 1000 cm3 = 1000 mL ... if that is true is 1 cm3 = 1 mL, why or why not? If it is true would that mean an answer of .00952 mL is also equal to .00952 cm3?
Thanks in advance!
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