The curved surface (or face) of the cone.
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triangle
it is a three dimensional cone , the circle is the edge of the figure and the curved side is the body of the cone, the vertex is the point of the cone
The side of a cone is - not surprisingly - conical is shape. Its net is a sector of a circle.
A cone has one side, the bottom surface, but not all cones have this surface. They may also be considered to have 'an inside' and 'an outside', which would be two sides. But as a relative of the circle, a cone has mathematically infinite sides.
Triangle