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A 3-D shape with 5 vertices is a triangular pyramid. A triangular pyramid has a triangular base and three triangular faces that meet at a single vertex called the apex. The base of the pyramid has three vertices, and the apex adds two more vertices, totaling five vertices in the shape.
A triangular dipyramid or a quadrilateral pyramid and any number of 3d shapes that are not polyhedra.
A pyramid
polyhedron
A sphere...
A right square based pyramid.
sides are the face of a 3d shape and verticies are the corner of the shape