Where would you encounter conductivity in the real world? ?

A shirt is placed on an ironing board to be ironed. Heat from the iron is conducted to the shirt, making it easy to iron out all those unsightly wrinkles and make the shirt look sharp.
The engine of a car is turned on, and the hood becomes warm due to the conduction of heat from the engine to the hood of the car.
A cube of ice is placed into the hand of a man. Over time, heat conducted from the man’s hand to the ice cube will cause the ice to melt.

—hope this helps (i think this is what you’re talking about)