When smart means "smart; dexterous", it refers to the flexible brain of a person or animal; when it refers to something made, it often has a clever meaning. Smart is a common word and is the most widely used.
Wise means "smart; wise". It is often used to describe a person who is wise, far-sighted and strategic; it can also refer to treating or dealing with people correctly due to knowledge, experience and good judgment. Peace is often used in formal and polite situations. Note: It is often used to describe celebrities or great people.
For example:
a wise saying; The people had considered Abraham Lincoln to be a great leader, and a wise, kind and honest man. A leader, a wise, kind and honest person.
You cannot cheat him because he is a smart boy.