pyramids have a triangular base. As a triangle has three sides, the pyramid will have three sides. Although you can get square based pyramids which have four sides.
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The Egyptian pyramids are 4 sided not 3 sided.
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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.
Octahedron.
A rectangular pyramid is a solid (3-dimensional) figure that comes to a point opposite the base (like the Pyramids of Egypt.) Its base is a four-sided plane figure with right angles and opposite sides equal (a rectangle--or square for that matter).
A pyramid is a polyhedron (many-sided shape) with a polygonal (many-sided area) base and at least three triangular faces that converge at the apex (the top, or highest, point). A pyramid with a triangular base is known as a tetrahedron. In common usage, a pyramid has a square base and four triangular lateral sides (like the stone pyramids in Egypt).
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges.