closet vs booth

closet and booth both are nouns.

Word	Noun	Adjective	Verb	Adverb
closet	Yes	No	Yes	No
booth	Yes	No	No	No

As nouns, booth is a hyponym of closet; that is, booth is a word with a more specific, narrower meaning than closet:

Other hyponyms of closet include cubicle, kiosk, stall.

closet (noun)	booth (noun)
a small private room for study or prayer	small area set off by walls for special use
a toilet in Britain	a small shop at a fair; for selling goods or entertainment
a tall piece of furniture that provides storage space for clothes; has a door and rails or hooks for hanging clothes	a table (in a restaurant or bar) surrounded by two high-backed benches
a small room (or recess) or cabinet used for storage space

closet (verb)	booth (verb)
confine to a small space, as for intensive work