prompter's box vs cubicle

prompter's box and cubicle both are nouns.

Word	Noun	Adjective	Verb	Adverb
prompter's box	Yes	No	No	No
cubicle	Yes	No	No	No

As nouns, cubicle is a hypernym of prompter's box; that is, cubicle is a word with a broader meaning than prompter's box:

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

Other hypernyms of prompter's box include booth, kiosk, stall.

prompter's box (noun)	cubicle (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
	small individual study area in a library
	small room in which a monk or nun lives