Ply thickness vs. foam thickness

Ok... I would venture to guess that this has been discussed at some point in time in here (or, perhaps even often, not sure) so forgive me for asking again, but, here goes.
Has anybody come up with a general rule of thumb for what thickness of foam you need to give an adequate strength comparison to a solid piece of ply?
For example, I posted a question in the general forum about a build that uses a solid piece of 3/4" ply for the sides, connected to a wall frame with studs that look to be spaced about every 2'. Unskinned on the inside.
If one were going to do a hybrid foam construction, skinned on the inside with luan and the outside with canvas, would 3/4" foam still be sufficient? Or, would it need to be something thicker?
The walls of that particular build were 6.5' high.
Has anybody come up with a general rule of thumb for what thickness of foam you need to give an adequate strength comparison to a solid piece of ply?
For example, I posted a question in the general forum about a build that uses a solid piece of 3/4" ply for the sides, connected to a wall frame with studs that look to be spaced about every 2'. Unskinned on the inside.
If one were going to do a hybrid foam construction, skinned on the inside with luan and the outside with canvas, would 3/4" foam still be sufficient? Or, would it need to be something thicker?
The walls of that particular build were 6.5' high.