dimension vs quality

dimension and quality both are nouns.

Word	Noun	Adjective	Verb	Adverb
dimension	Yes	No	Yes	No
quality	Yes	Yes	No	No

As nouns, quality is a hyponym of dimension; that is, quality is a word with a more specific, narrower meaning than dimension:

dimension: a construct whereby objects or individuals can be distinguished
quality: a characteristic property that defines the apparent individual nature of something

Other hyponyms of dimension include character, lineament, characteristic, feature, feature, feature of speech, exactingness.

dimension (noun)	quality (noun)
the magnitude of something in a particular direction (especially length or width or height)	an essential and distinguishing attribute of something or someone
magnitude or extent	(music) the distinctive property of a complex sound (a voice or noise or musical sound)
a construct whereby objects or individuals can be distinguished	a degree or grade of excellence or worth
one of three Cartesian coordinates that determine a position in space	a characteristic property that defines the apparent individual nature of something
	high social status

dimension (adjective)	quality (adjective)
	of superior grade
	of high social status

dimension (verb)	quality (verb)
shape or form to required dimensions
indicate the dimensions on