Q:

# Which shape has five vertices and five faces ?

A:

A square pyramid has five vertices and five faces. The five vertices occur at each of the corners of the square base, and the final vertex is at the apex of the pyramid. The five faces are each side of the pyramid and the face of the square.

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Credit: archer10 CC-BY 2.0

The term face describes any flat surface on a geometric figure, regardless of whether or not it is visible. In three-dimensional figures, the vertex of a shape is where one face joins or intersects with another. All pyramids, regardless of their base shape, have the same number of vertices and faces. This property is called self-duality.

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