Our kitchen is far from functional, and we have zero drawers. For over two years our silverware has been sitting out on a counter in a tray, driving me crazy. Since I have yet to hammer out the drawer situation, I decided to at least do something about the silverware until such time.
I started by making a series of boxes, cutting the slats I had into 4" long pieces. Next, I assembled them using mostly glue as I didn't want to see any fasteners on the faces. I then cut little pieces for the bottoms, glued and screwed those in from the sides.
Next, I butted two longer pieces of pallet wood together and joined them with glue. I probably could have done a better job of that, but it worked out. Lastly, I attached the boxes from behind using screws then attached the whole thing to the wall.