Wooden box

can be removed, and a framed structure will remain standing, the container would likely be termed a crate.

The strength of a wooden box is rated based on the weight it can carry before the cap (top, ends, and sides) is installed.

"Skids" or thick bottom runners, are sometimes specified to allow forklift trucks access for lifting.

A cleated box has five or six panel faces with wood strips attached to them.

A skid box is a wood, corrugated fiberboard, or metal box attached to a heavy duty pallet or platform on a skid (parallel wood runners) ASTM standards:

Wooden box with full cleated ends (Style 2)
Man with wooden box or chest, 1625
Ammunition in wooden boxes, steel strapping
Performance testing a wood shipping container: Rotational corner drop test, ASTM D6179