cube vs third power

cube and third power both are nouns.

Word	Noun	Adjective	Verb	Adverb
cube	Yes	No	Yes	No
third power	Yes	No	No	No

As nouns, cube and third power are synonyms defined as:

cube (noun)	third power (noun)
a block in the (approximate) shape of a cube	the product of three equal terms
any of several tropical American woody plants of the genus Lonchocarpus whose roots are used locally as a fish poison and commercially as a source of rotenone
the product of three equal terms
a hexahedron with six equal squares as faces
a three-dimensional shape with six square or rectangular sides

cube (verb)	third power (verb)
raise to the third power
cut into cubes