There is no such shape.
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A pentagon has five sides and five vertices
A shape that has more than 4 vertices is called a polygon. Polygons are closed geometric figures with straight sides. Examples of polygons with more than 4 vertices include a pentagon (5 vertices), hexagon (6 vertices), heptagon (7 vertices), octagon (8 vertices), nonagon (9 vertices), decagon (10 vertices), and so on. Each vertex represents a point where two sides of the shape meet.
A pentagonal pyramid (5 sides and 1 base) has 6 faces, 6 vertices, and 10 edges (5 between the sides and 5 with the base).
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This describes a square pyramid. It has a square for a base, and four triangular sides that meet at the "top" or upper vertex. It will then have 5 faces, which will be the 4 triangular sides and the square base. It will also have 8 edges and 8 vertices. Use the link below to see a drawing and you can count all the faces, edges and vertices.