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A cube of clay

Odo with a glass cube and glass pyramid

A cube, or cubical object, is a three-dimensional geometric shape bounded by six square faces with three meeting at each vertex.

When asked by Vic Fontaine if he knew what a square was, metaphorically speaking, Miles O'Brien defined it literally as "one side of a cube." (DS9: "His Way")

While demonstrating a cube-shaped glass container to a sick infant Changeling, Odo explained how he "[remembered] the first time Doctor Mora [coerced] him into taking the shape of a cube with one of his electrostatic gadgets." Once Odo made the shape and Dr. Mora turned the "gadget" off, Odo said he "was perfectly content to stay a cube for hours. It was fascinating, all those right angles."

When the Changeling showed no interest in taking the form of a sphere, Odo told him "we can always try a cube," then asked it what it thought of the shape once transferred to that container. Later, Odo transferred the Changeling back and forth from pyramid-shaped to cube-shaped glass containers, and at one point said, "Now Mister Pyramid, here comes Mister Cube." (DS9: "The Begotten")

When Seven of Nine instructed the Borg children aboard USS Voyager to create a geometric shape out of clay in 2376, Azan and Rebi created cubes that were "precisely 1/1000th the size of a Borg vessel." (VOY: "Ashes to Ashes")

Cubical objects

Green cube

Gary Seven's Beta 5 computer was accessed through a voice-activated cube that Roberta Lincoln referred to as "my little green friend." (TOS: "Assignment: Earth")

Pieces of ice frozen in the shape of a cube were referred to as ice cubes. (ENT: "Dead Stop", et al.)

Sugar, a natural Earth sweetener, was sometimes compressed into cube form for ease of use. Tango, one of two horses owned by Christopher Pike, enjoyed eating sugar cubes during the early 23rd century. (TOS: "The Cage") Clara Sutter's imaginary friend Isabella took two cubes of sugar with her tea. (TNG: "Imaginary Friend")

Balok's cube

Balok used a cube-shaped buoy to study the reactions of the USS Enterprise NCC-1701 crew in 2266. According to ship's sensors, it showed as a solid cube, with each of its edges measuring 107 meters (equaling 1,225,043 cubic meters), and a mass "a little under" 11,000 metric tons. (TOS: "The Corbomite Maneuver")

Common cubic Earth dice

A standard Earth die was cubical in shape. 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. Additionally, he noted that "single digits on each cube [were] not at all desirable." (TNG: "The Royale")

The Tox Uthat was described by Ajur as "a crystal cube that fits in the palm of the hand." (TNG: "Captain's Holiday")

Navigational logs from the Zalkonian escape pod where John Doe was recovered from was kept in a storage cube discovered by Data from the USS Enterprise-D in 2366. (TNG: "Transfigurations")

The primary vessel of the Borg Collective was shaped like a cube

Prior to the loss of the USS Lalo to the Borg, Starbase 157 received a distress signal from the freighter, reporting that they had made contact with an alien vessel described as "cube shaped". (TNG: "The Best of Both Worlds") The Borg cube was the primary starship of the Borg Collective, and measured twenty-eight cubic kilometers in volume. The Borg also used specialized tactical cubes for heavy combat. (VOY: "Dark Frontier", "Unimatrix Zero")

Borg scout ships were also described as having a cubical configuration. (TNG: "I Borg")

The holographic James Moriarty and Countess Regina Barthalomew were stored in a cubic enhancement module with enough active memory to provide them a lifetime of experiences. (TNG: "Ship in a Bottle")

Cubic measurements

The volume of a cube could be determined by cubing the length of one side, which was expressed by such measurements as:

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