cubic centimeter vs cubic centimetre

cubic centimeter and cubic centimetre both are nouns.

Word	Noun	Adjective	Verb	Adverb
cubic centimeter	Yes	No	No	No
cubic centimetre	Yes	No	No	No

As nouns, cubic centimeter and cubic centimetre are synonyms defined as:

cubic centimeter and cubic centimetre: a metric unit of volume equal to one thousandth of a liter

Other synonyms of cubic centimeter include cc, mil, milliliter, millilitre, ml.

cubic centimeter (noun)	cubic centimetre (noun)
a metric unit of volume equal to one thousandth of a liter	a metric unit of volume equal to one thousandth of a liter