In a manner relating to or characteristic of a cube; in terms of cubic measurement or properties.
From 'cubical' plus the adverbial suffix '-ly' (from Old English '-lice,' meaning 'in the manner of'). This creates an adverb describing how something is cube-like.
When mathematicians say something increases 'cubically,' they mean it grows much faster than quadratically—double the input and the output goes up eight times, which is why volume expansion is so dramatic compared to area.
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