Seven - six for the hexagonal base plus the apex.
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Well the base has four corners (square), and these all connect to a vertex at the top (pyramid). Therefore, there are 5 corners on a square pyramid.
A triangular pyramid has 4 vertices (each vertex has 3 edges connected to it).
A pyramid has one more corner and faces than the number of sides in its base; thus a decagonal pyramid has 10 + 1 = 11 faces and corners. A pyramid has twice as many edges as sides in its base; thus a decagonal pyramid has 2 X 10 = 20 edges.
pyramid
The number of corners (or vertices) of a pyramid depends upon the shape of the base of the pyramid; a pyramid has one more corner than the number of sides in the base, eg a triangular based pyramid (also known as a tetrahedron) has 3 + 1 = 4 corners, a square based pyramid has 4 + 1 = 5 corners. A cone has 1 corner (at the top, or apex). So together a pyramid and cone have 2 more corners than number of sides of the shape of the base of the pyramid.