Based on my knowledge of how the Army packed other items for overseas shipment, I would make the assumption that the carton of bandages you are asking about were further packed in a wood crate. I have never seen a wood crate specifically for field dressings, but the period photos I have seen for the medical depots would re-enforce the idea that most items were shipped in wood crates.
As for the cartons, I have several pictures of the cartons that can be used as a reference.
This one is definitely WW2 Army. The carton measures 4 1/2" x 5 3/4" x 4".
This one may be post WW2 but I can't tell for sure. Exact size unknown.
This one is WW2 with a US Navy stock number. The manufacturer probably produced for Army and Navy (thus the stamp) so changing to an Army stock number should work. Exact size unknown but probably pretty close to the first one as the bandages were packed the same way.
Hope that helps.