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The completion of that analogy is 3-dimensional.
A solid is more like a pyramid or a cone. and a plane is more like a square or plane shapes like that. The answer is in the shapes.
A square is like a cube just that a cube is 3-demensional and a square isn't.MATH IS LIKE SEX. ITS HARD. BE CAREFUL LITTLE KIDS.
A cube is "cube" shaped like a square box.
A cube is a 3 dimensional square. it looks like a box with all equal sides.