side of meat vs cut of meat

side of meat and cut of meat both are nouns.

Word	Noun	Adjective	Verb	Adverb
side of meat	Yes	No	No	No
cut of meat	Yes	No	No	No

As nouns, cut of meat is a hypernym of side of meat; that is, cut of meat is a word with a broader meaning than side of meat:

side of meat: a lengthwise dressed half of an animal's carcass used for food
cut of meat: a piece of meat that has been cut from an animal carcass

Other hypernyms of side of meat include cut.

side of meat (noun)	cut of meat (noun)
a lengthwise dressed half of an animal's carcass used for food	a piece of meat that has been cut from an animal carcass