no, there are only two faces and one is curved therefore cannot be parallel
in order for the cone to eventually come to a point, there cannot be any perpendicular faces
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Oh, dude, you're hitting me with the geometry questions, huh? So, like, a shape that fits that description would be a triangular prism, because it has perpendicular edges but none that are parallel. It's like the rebel of the 3D shapes, just doing its own thing.
The following are some examples of a shape with two flat face and one curved surface: A sphere intersected by two planes. An ellipsoid intersected by two plane faces. A paraboloid intersected by two plane faces. A cone intersected by two plane faces. A cylinder. A hyperboloid intersected by two plane faces.
Some do, some don't. A regular polyhedron such as the tetrahedron has none whereas an irregular one like the parallelepiped can have several.
There are many possible answers: a frustrum of a cone, a sphere or torus intersected by a pair of parallel planes, a circular prism (cylinder) are some.
Some do.