If side refers to 'face', then the pyramid would be a quadrilateral pyramid with 8 edges.
If side refers to the base of the pyramid, it would be a pentagonal pyramid with 10 edges.
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A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 8 edges
An octagonal based pyramid has 9 faces, 16 edges and 9 vertices
Faces: 5 Edges: 8
A six sided polyhedron is a hexahedron. This may be a triangle based dipyramid, a pentagonal pyramid of a variant of a parallelepiped.
A pentagon is a five (5) sided polygon. It also has 5 corners.