phone booth vs telephone box

phone booth and telephone box both are nouns.

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

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

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

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