schoolhouse vs edifice

schoolhouse and edifice both are nouns.

Word	Noun	Adjective	Verb	Adverb
schoolhouse	Yes	No	No	No
edifice	Yes	No	No	No

As nouns, edifice is a hypernym of schoolhouse; that is, edifice is a word with a broader meaning than schoolhouse:

schoolhouse: a building where young people receive education
edifice: a structure that has a roof and walls and stands more or less permanently in one place

Other hypernyms of schoolhouse include building.

schoolhouse (noun)	edifice (noun)
a building where young people receive education	a structure that has a roof and walls and stands more or less permanently in one place