Their dimensionality.
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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.
the difference between a two dimensional shape and and a solid is that a two dimensional shape is plane and a solid you can see the whole shape a the inside.
it is same as surface and volume ! a plane angle is 2D and solid angle is 3D
pyramid
It is a pyramid.