A vertically floating hinge includes a pin having a linear configuration, a first leaf, and a second leaf. The first leaf includes a pair of spaced apart first-leaf knuckles rotatably coupled to the pin. The second leaf includes at least one second-leaf knuckle rotatably coupled to the pin, the second-leaf knuckle situated between the pair of spaced apart first-leaf knuckles and configured to slide along the pin between the pair of first-leaf knuckles. The first-leaf knuckles are spaced apart from one another and define a first-leaf space therebetween, each first-leaf knuckle defining a first-leaf knuckle channel configured to receive the pin therethrough. The at least one second-leaf knuckle is smaller than the first-leaf space so as to selectively slide vertically along the pin between the pair of first-leaf knuckles.