A triangular based pyramid has 4 faces and 4 vertices
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cone
They are square based pyramids
cube and cuboid
Rectangular prism Cube
No, prisms and pyramids do not have the same number of vertices. A prism has two identical polygonal bases connected by rectangular faces, so it has 2 more vertices than the number of sides in the base polygon. A pyramid has a polygonal base and triangular faces connecting the base to a single vertex, so it has 1 more vertex than the number of sides in the base polygon.