prompt box vs booth

prompt box and booth both are nouns.

Word	Noun	Adjective	Verb	Adverb
prompt box	Yes	No	No	No
booth	Yes	No	No	No

As nouns, booth is a hypernym of prompt box; that is, booth is a word with a broader meaning than prompt box:

prompt box: a booth projecting above the floor in the front of a stage where the prompter sits; opens toward the performers on stage
booth: small area set off by walls for special use

Other hypernyms of prompt box include cubicle, kiosk, stall.

prompt box (noun)	booth (noun)
a booth projecting above the floor in the front of a stage where the prompter sits; opens toward the performers on stage	small area set off by walls for special use
	a small shop at a fair; for selling goods or entertainment
	a table (in a restaurant or bar) surrounded by two high-backed benches