telephone box vs telephone booth

telephone box and telephone booth both are nouns.

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

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

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

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