religious cult vs faith

religious cult and faith both are nouns.

Word	Noun	Adjective	Verb	Adverb
religious cult	Yes	No	No	No
faith	Yes	No	No	No

As nouns, faith is a hypernym of religious cult; that is, faith is a word with a broader meaning than religious cult:

religious cult: a system of religious beliefs and rituals
faith: a strong belief in a supernatural power or powers that control human destiny

Other hypernyms of religious cult include religion, religious belief.

religious cult (noun)	faith (noun)
a system of religious beliefs and rituals	loyalty or allegiance to a cause or a person
	a strong belief in a supernatural power or powers that control human destiny
	complete confidence in a person or plan etc
	an institution to express belief in a divine power