A cat may not die if it falls from the 6th floor, but it is very likely to be seriously injured. The specifics depend on the cat's own sensitivity. If the cat's body is more flexible, it may only be injured and not life-threatening; but if If the cat's body is not flexible, it is very likely to die.
Tip:
If the cat accidentally falls from the 6th floor, it is best to check the cat immediately for any trauma and then take it The cat should go to the pet hospital to check whether there are any injured bones or internal organs.