A cone has a curved base edge and 1 vertex
Cool question. I think there are at least three: hemisphere, section of an obloid, cone. Since you did not say face, you appreciate difference between definitions in platonic solids as defined by Euclid and Euler, and the curved solids. A hemisphere has one flat surface and no vertices, but so does a cone. A vertex is defined as the meeting of edges, which are defined as straight in euclidean geometry. Since there are no straight edges coming to a point in a cone (unless you want to talk about infinite edges emanating from the flat surface), there are no vertices on a cone.
0 edges 0 faces (faces are planar bounded by linear edges) 2 curved surfaces 1 vertex
Generally, an edge is a straight line between two points or vertices, like on a square or cube. Since a cone doesn't have any of these, I would say 0 edges. Similarly, since a face is usually supposed to be flat, I would say 1 face (the curved part doesn't count).
A cone would fit the given description
Both.
Curved.
A cone has one face - its base - and one edge but no vertices. Vertices only occur at the meeting of two straight surfaces.
Faces-2 (1 flat face and 1 curved face), 1 curved edge, and 1 vertex.
Cool question. I think there are at least three: hemisphere, section of an obloid, cone. Since you did not say face, you appreciate difference between definitions in platonic solids as defined by Euclid and Euler, and the curved solids. A hemisphere has one flat surface and no vertices, but so does a cone. A vertex is defined as the meeting of edges, which are defined as straight in euclidean geometry. Since there are no straight edges coming to a point in a cone (unless you want to talk about infinite edges emanating from the flat surface), there are no vertices on a cone.
3 faces: two plane and one curved,2 edgesno vertices.3 faces: two plane and one curved,2 edgesno vertices.3 faces: two plane and one curved,2 edgesno vertices.3 faces: two plane and one curved,2 edgesno vertices.
0 edges 0 faces (faces are planar bounded by linear edges) 2 curved surfaces 1 vertex
Generally, an edge is a straight line between two points or vertices, like on a square or cube. Since a cone doesn't have any of these, I would say 0 edges. Similarly, since a face is usually supposed to be flat, I would say 1 face (the curved part doesn't count).
1 corner,0 vertices and 0 edges * * * * * A vertex is the same as a corner, so a cone has 1 vertex. It has two faces: one circular and one curved. It has one edge where the two faces meet.
A cone would fit the given description.
A cone would fit the given description
A cone has two surfaces, one vertex and no edges.
A cone would fit the given description