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They're not always. But anytime something is not a pyramid shape, it's not called a pyramid,it's called something else. So everything that's left ... all the things that are a pyramid shape ...is called a pyramid.
Things look like pyramid
an Egyptian pyramid
A lot of things. For example, a cube has 8 vertices, the square pyramid has 5. A cube also has more edges and faces than the pyramid. All the faces of the cube are squares, while the pyramid only has one square face. Also, all the angles in the cube are right angles, while the angles in a square pyramid (in the usual sense of a pyramid where the apex is directly above the center of the base) are acute. In any case, they are not all right angles.
pyramid