A cube is a three-dimensional solid object bounded by six square faces with three meeting at each vertex.
Sugar, a natural Earth sweetener, was sometimes compressed into cube form for ease of use. Tango, Christopher Pike's horse, enjoyed eating sugar cubes. (TOS: "The Cage")
Balok used a cube-shaped buoy to study the reactions of the USS Enterprise NCC-1701 crew in 2266. (TOS: "The Corbomite Maneuver")
A common Earth die is an example of a cube. In 2365, while trapped in a re-creation of the Royale Hotel on Theta VIII, Commander Data stated that the "cubes [were] improperly balanced" when referring to the craps dice. (TNG: "The Royale")
The holographic James Moriarty and Countess Regina Bartholomew were stored in a cubic enhancement module with enough active memory to provide them a lifetime of experiences. (TNG: "Ship in a Bottle")
The Borg cube was the primary starship of the Borg Collective, and measured 28 cubic kilometers in volume. The Borg also used specialized tactical cubes for heavy combat. (VOY: "Dark Frontier", "Unimatrix Zero")
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