knock down vs cut down

knock down and cut down both are verbs.

Word	Noun	Adjective	Verb	Adverb
knock down	No	No	Yes	No
cut down	No	No	Yes	No

As verbs, knock down and cut down are synonyms defined as:

Other synonyms of knock down include down, pull down, push down.

knock down (verb)	cut down (verb)
shatter as if by explosion	cut down on; make a reduction in
knock down with force	intercept (a player)
cause to come or go down	cause to come or go down
	cut with a blade or mower
	cause to fall by or as if by delivering a blow
	cut with sweeping strokes; as with an ax or machete