A dovetail joint is very likely used in your cabinets for making the box which is the drawer.
In one piece “tails” are cut (in the picture the piece on the left has the tails), while in the other piece matching “pins” are cut.
This is a very strong joint that can only come apart in one direction.
For your kitchen cabinets, the pins are in the drawer front and the side pieces have tails.
This allows the drawer to open without the front ever pulling off.
I hope this information is useful to you. Other details about cabinet construction is available in other articles.