telephone booth vs telephone box

telephone booth and telephone box both are nouns.

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

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

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

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