chest vs tool case

chest and tool case both are nouns.

Word	Noun	Adjective	Verb	Adverb
chest	Yes	No	No	No
tool case	Yes	No	No	No

As nouns, tool case is a hyponym of chest; that is, tool case is a word with a more specific, narrower meaning than chest:

chest (noun)	tool case (noun)
box with a lid; used for storage; usually large and sturdy	a box or chest or cabinet for holding hand tools
furniture with drawers for keeping clothes
the part of the human torso between the neck and the diaphragm or the corresponding part in other vertebrates
the front of the trunk from the neck to the abdomen