Non-RFID-active units in a space are marked by affixing RFID tags. Two tags are affixed to each unit, each tag having a directional antenna. The antennas are oriented to define a per-unit reader location. Units are arranged in the space so the per-unit reader locations at least partially overlap to define a reader location. The units in the space can also be detected by an RFID reader located in the overlapping per-unit reader locations. A controller can compare a received list of tag identities corresponding to units expected to be in the container to the identities of the tags read to determine whether the expected units are in the container and disposed at positions and with orientations that cause the respective per-unit reader locations to at least partially overlap with the reader location.