telephone box vs phone booth

telephone box and phone booth both are nouns.

Word	Noun	Adjective	Verb	Adverb
telephone box	Yes	No	No	No
phone booth	Yes	No	No	No

As nouns, telephone box and phone booth are synonyms defined as:

Other synonyms of telephone box include call box, telephone booth, telephone kiosk.

telephone box (noun)	phone booth (noun)
booth for using a telephone	booth for using a telephone