A lockable enclosure comprising: a housing; an access door assembled with the housing and movable between a closed position blocking access to a cavity within the housing and an open position permitting access to the cavity; a plurality of dials (130a, 130b, 130c, 130d) carried by the access door and rotatable about a post extending along a first axis; a latch carried by the access door and including a latch bar and a plurality of dial engaging portions; characterized in that: the latch bar and the dial engaging portions are together slideable along a second axis between a door latching position in which the latch bar engages an interlock portion of the housing to secure the access door in the closed position, and a door releasing position in which the latch bar disengages from the interlock portion of the housing to permit movement of the access door to the open position; and wherein when each of the plurality of dials is rotated to an unlocking orientation, an outer peripheral recess on each of the dials aligns with the corresponding dial engaging portion of the latch, allowing the latch to slide along the second axis from the door latching position to the door releasing position, with each of the dial engaging portions being received in a corresponding one of the recesses. a housing; an access door assembled with the housing and movable between a closed position blocking access to a cavity within the housing and an open position permitting access to the cavity; a plurality of dials (130a, 130b, 130c, 130d) carried by the access door and rotatable about a post extending along a first axis; a latch carried by the access door and including a latch bar and a plurality of dial engaging portions; characterized in that: the latch bar and the dial engaging portions are together slideable along a second axis between a door latching position in which the latch bar engages an interlock portion of the housing to secure the access door in the closed position, and a door releasing position in which the latch bar disengages from the interlock portion of the housing to permit movement of the access door to the open position; and wherein when each of the plurality of dials is rotated to an unlocking orientation, an outer peripheral recess on each of the dials aligns with the corresponding dial engaging portion of the latch, allowing the latch to slide along the second axis from the door latching position to the door releasing position, with each of the dial engaging portions being received in a corresponding one of the recesses. the latch bar and the dial engaging portions are together slideable along a second axis between a door latching position in which the latch bar engages an interlock portion of the housing to secure the access door in the closed position, and a door releasing position in which the latch bar disengages from the interlock portion of the housing to permit movement of the access door to the open position; and wherein when each of the plurality of dials is rotated to an unlocking orientation, an outer peripheral recess on each of the dials aligns with the corresponding dial engaging portion of the latch, allowing the latch to slide along the second axis from the door latching position to the door releasing position, with each of the dial engaging portions being received in a corresponding one of the recesses.