A case is most commonly comprised of two or more boxes of cards. Generally a case will contain 12 boxes and comes with a discount vs buying boxes individually.
A box is commonly comprised of one or more packs of cards. Generally a box will contain 24 packs and comes with a discount vs buying packs individually.
A pack is commonly comprised of one or more cards. Generally a pack will contain 5 cards but configuration can vary depending on whether they contain special cards.