Cube
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  was, metaphorically speaking, Miles O'Brien defined it literally as "one side of a cube." ()

While demonstrating a cube-shaped  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." ()

When Seven of Nine instructed the Borg children aboard  to create a geometric shape out of clay in 2376, Azan and Rebi created cubes that were "precisely  the size of a Borg vessel." ()

Cubical objects 

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

Pieces of ice frozen in the shape of a cube were referred to as ice cubes. (, 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. () Clara Sutter's imaginary friend Isabella took two cubes of sugar with her tea. ()

Balok used a cube-shaped buoy to study the reactions of the  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. ()

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 s on each cube [were] not at all desirable." () 

The Tox Uthat was described by Ajur as "a crystal cube that fits in the palm of the hand." ()

Navigational logs from the Zalkonian escape pod where John Doe was recovered from was kept in a storage cube discovered by Data from the  in 2366. ()

Prior to the loss of the  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". () The Borg cube was the primary starship of the Borg Collective, and measured twenty-eight cubic kilometers in . The Borg also used specialized tactical cubes for heavy combat. () 

Borg scout ships were also described as having a cubical configuration. ()

The holographic  and Countess Regina Barthalomew were stored in a cubic enhancement module with enough active memory to provide them a lifetime of experiences. ()

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

 Cubic centimeter
 Cubic foot
 Cubic kilometer
 Cubic light year
 Cubic meter
 Cubic millimeter
 Cubic parsec

External link 
 

de:Würfel (Form)
Mathematics