Product review (5 stars): OLD RELIABLE for a  one foot deep cabinet
I think most people who have a range hood have this one. It's been around for many years. I've had one for AGES in my downstairs kitchen and just bought a new one for my upstairs kitchen. Nice finish. The light works. The two speed fan works. The ductless filter catches the greasy smoke when you are cooking,.
It does what they claim it does at a GOOD price.
The part that actually attaches to your cabinet is exactly one foot deep. The full depth is deeper, but it's meant for a cabinet that is exactly one foot deep.