pepper box vs pepper shaker

pepper box and pepper shaker both are nouns.

Word	Noun	Adjective	Verb	Adverb
pepper box	Yes	No	No	No
pepper shaker	Yes	No	No	No

As nouns, pepper box and pepper shaker are synonyms defined as:

pepper box and pepper shaker: a shaker with a perforated top for sprinkling ground pepper

Other synonyms of pepper box include pepper pot.

pepper box (noun)	pepper shaker (noun)
a shaker with a perforated top for sprinkling ground pepper	a shaker with a perforated top for sprinkling ground pepper