paintbox vs box

paintbox and box both are nouns.

Word	Noun	Adjective	Verb	Adverb
paintbox	Yes	No	No	No
box	Yes	No	Yes	No

As nouns, box is a hypernym of paintbox; that is, box is a word with a broader meaning than paintbox:

paintbox (noun)	box (noun)
a box containing a collection of cubes or tubes of artists' paint	a blow with the hand (usually on the ear)
	a (usually rectangular) container; may have a lid
	separate partitioned area in a public place for a few people
	private area in a theater or grandstand where a small group can watch the performance
	the driver's seat on a coach
	any one of several designated areas on a ball field where the batter or catcher or coaches are positioned
	evergreen shrubs or small trees
	the quantity contained in a box
	a rectangular drawing
	a predicament from which a skillful or graceful escape is impossible