six vs dice

six and dice both are nouns.

Word	Noun	Adjective	Verb	Adverb
six	Yes	Yes	No	No
dice	Yes	No	Yes	No

As nouns, dice is a hypernym of six; that is, dice is a word with a broader meaning than six:

six: a playing card or domino or die whose upward face shows six pips
dice: a small cube with 1 to 6 spots on the six faces; used in gambling to generate random numbers

Other hypernyms of six include die, domino, spot.

six (noun)	dice (noun)
a playing card or domino or die whose upward face shows six pips	a small cube with 1 to 6 spots on the six faces; used in gambling to generate random numbers
the cardinal number that is the sum of five and one

six (adjective)	dice (adjective)
denoting a quantity consisting of six items or units

six (verb)	dice (verb)
	play dice
	cut into cubes