Octagonal pyramid
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A six sided cone is a pyramid technically, and it would be a hexagonal pyramid (if six sides does not include base) or a pentagonal pyramid (if including base.)
A 8 sided polygon is called a octagon.
The name of a 8 sided polygon is Octagon.
A cone by definition has only two sides. A five-sided pyramid can refer to either a square-based pyramid (four angled sides and the base) or a pentagonal-based pyramid (five visible sides).
octagon