Etymology
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cubic (adj.)

mid-15c., "being of the third power;" 1550s, "having the form of a cube," from Old French cubique (14c.), from Latin cubicus, from Greek kybikos, from kybos "cube" (see cube (n.)). Meaning "solid, three-dimensional" is from 1650s.

Cubical is attested from 1590s with the meaning "of or pertaining to a cube," and according to OED it is "Now more usual than cubic in this sense." Related: Cubically.

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Definitions of cubic

cubic (adj.)
involving the cube and no higher power of a quantity or variable;
a cubic equation
cubic (adj.)
having the shape of a cube; having three dimensions;
Synonyms: three-dimensional
From wordnet.princeton.edu