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No, the pyramids in Egypt have 5 sides(including the bottom); a tetrahedron has 4.
Yes when in the form of a tetrahedron which is a triangular based pyramid
no
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There can be no formula for a tetrahedron since you have not specified what aspect the formula is supposed to calculate. Furthermore, although they are all triangular pyramids, tetrahedra can be tall, needle-like shapes or almost flat shapes.