Abstract: The disclosure relates to boxes and containers for stowing boxes. An aspect of the disclosure involves a hinge structure having a pair of flexibly-connected channels, each of which has a pair of substantially parallel side panels extending from a rib. An edge of a box wall member is received in at least one of the channels. The side panels extend substantially the same distance from the rib so that the side panels simultaneously engage the edge upon edge insertion. When the hinge structure is used as device to affix the top cover to a box, the "coextensive" channel side panels make it easy to fit the top cover to the box walls. Also disclosed are a box bottom member having new features, a new container, a new family of containers for stowing boxes and a new hinge structure for attaching segments of a split wall member.