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Q: Name a solid with no edge?

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An edge is the the answer

That would be an edge.

A tetrahedron

In a 3-dimensional shape with polygonal faces, an edge is a straight line at which two faces meet. A vertex is a point where three or more edges meet. In solid shapes which are not polyhedra, an edge is still a line - possibly curved - where two faces meet. But a vertex can be any corner, for example, the point of a cone.

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