A wooden box is a container made of wood for storage or as a shipping container 
Wooden boxes are often used for heavy duty packaging when

• High strength is needed for heavy and difficult loads
• Long term warehousing may be needed
• Large size is required
• Rigidity and stacking strength is critical

Boxes and crates are not the same. If the sheathing of the container (plywood, lumber, etc.) can be removed, and a framed structure will remain standing, the container would likely be termed a crate. If removal of the sheathing resulted in there being no way of fastening the lumber around the edges of the container, the container would likely be termed a wooden box. 
Performance is strongly influenced by the specific design, type of wood, type of fasteners (nails, etc.)

A wooden box is a container made of wood for storage or as a shipping container 
Wooden boxes are often used for heavy duty packaging when

• High strength is needed for heavy and difficult loads
• Long term warehousing may be needed
• Large size is required
• Rigidity and stacking strength is critical

Boxes and crates are not the same. If the sheathing of the container (plywood, lumber, etc.) can be removed, and a framed structure will remain standing, the container would likely be termed a crate. If removal of the sheathing resulted in there being no way of fastening the lumber around the edges of the container, the container would likely be termed a wooden box. 
Performance is strongly influenced by the specific design, type of wood, type of fasteners (nails, etc.)