Yes, it is called a tetrahedron or a triangular pyramid.
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5 edges
A quadrilateral based pyramid, of which a square based pyramid would be a special case.
A cube has 12 edges. A 4-sided pyramid has 8 edges. A 3-sided pyramid has 6 edges. There are also other pyramids with more sides.
if its a four sided pyramid then four. if its a three sided pyramid then four.
A 3-sided pyramid.