This is an Outside wooden corner for crown molding
I did some remodeling and carefully removed this corner piece.
It is painted white with some minor amount of caulk.
There is a small crack at the bottom. Just a very small amount of wood glue after installation and paint will work.
You can use 4 5/8 inch trim.
Measurements are 7 3/8" by 7 3/8" by 8"