This is how I would do it, if I had to scribe it to the back wall.
I would make the top hang over the cabinet 1/2"
I would recess the back on the cabinet 1"
I would use a 3/4" cleat for the cabinet and a 1" cleat for the wall.
After the cabinet was built I would put it against the wall where it s going to go, set it on some blocks or whatever it takes to set it to the right height.
Then I would use my scribe pencil set at 1/2" and follow the backwall.
Cut off the scribe and it should fit the wall.
To find the spot to mount your wall cleat:
Measure from the top of the cabinet to the bottom of the french cleat. (You can see it s 7" in my example)
Measure from the height that you want the cabinet on the wall, the distance you measured for the cleat.
This is where you mount the wall cleat. If all went well it should sit perfect.
- LeeRoyMan
This is what I would do too even though I don t have LeeRoyMan s experience.
- Foghorn