shower room vs shower bath

shower room and shower bath both are nouns.

Word	Noun	Adjective	Verb	Adverb
shower room	Yes	No	No	No
shower bath	Yes	No	No	No

shower room (noun)	shower bath (noun)
a room with several showers	washing yourself by standing upright under water sprayed from a nozzle
	booth for washing yourself, usually in a bathroom