Greetings!
We are happy to answer your question about this Samsung range hood.
The cabinet depth for using the recirculating system of this range hood is 12 1/4 inches. For more details on the installation instructions and preparing the location, please refer to page 8 of this model's installation guide shared below.
https://downloadcenter.samsung.com/content/UM/202406/20240617133755422/LIB0175247C.pdf
Should you have additional questions, please feel free to get back to us via the following options:
1. Facebook Messenger: http://m.me/samsungsupport
2. Twitter: https://twitter.com/messages/compose?recipient_id=18768513
3. Samsung Community: https://us.community.samsung.com/t5/Samsung-Community/ct-p/us
When you message us, please provide us with this reference number 1149801965 to help our team pull up your information.
Leo