A cube has no vertex
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a cone (not including the vertex) and a cylinder
A vertex is a point. There are 8 vertices in a cube. 6 sides in a cube. This can be easily seen from looking at a standard 6 sided die (dice).
The answer depends on the orientation of the cube. If it is balanced on an edge or a vertex it has no horizontal or vertical faces. If it is resting on a face then it has 2 horizontal and 4 vertical faces.
A cone+++The original answer also had "Cube", which is obviously wrong!