packing box vs crate

packing box and crate both are nouns.

Word	Noun	Adjective	Verb	Adverb
packing box	Yes	No	No	No
crate	Yes	No	Yes	No

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

packing box: a large crate in which goods are packed for shipment or storage
crate: a rugged box (usually made of wood); used for shipping

packing box (noun)	crate (noun)
a small chamber in which packing is compressed around a reciprocating shaft or piston to form a seal	a rugged box (usually made of wood); used for shipping
a large crate in which goods are packed for shipment or storage	the quantity contained in a crate

packing box (verb)	crate (verb)
	put into a crate; as for protection