I think "volume" is the word you're looking for. There are all sorts of volume formulas depending on the three-dimentional figure you're talking about. Revise the question if you need a more specific answer.
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Many 3d shapes have a corner.
A 12 sided 3D shape is a dodecahedron.
A tridekahedron is a 3D 30 sided shape.
A 3D shape that has 6 edges is called a hexagonal prism.
it is a strong inadiquate word that describes a 3d shape. A tetrahedron.