tool chest vs toolbox

tool chest and toolbox both are nouns.

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

As nouns, tool chest and toolbox are synonyms defined as:

tool chest and toolbox: a box or chest or cabinet for holding hand tools

Other synonyms of tool chest include tool cabinet, tool case.

tool chest (noun)	toolbox (noun)
a box or chest or cabinet for holding hand tools	a box or chest or cabinet for holding hand tools