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Assuming a square-based pyramid. 4 more edges in a cube than in a pyramid.
4. Because a cube has 12 and Pyramid has 8
A cube has 8 vertices, a triangular pyramid has 4. So there are 4 more.
A cube has 6 vertices and a square or rectangular based pyramid has 5 vertices so the cube has 1 more.
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.