A parallelepiped has 6 faces.
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A solid parallelogram figure w/6 flat surfaces that are called faces. All the faces are rectagles.
A cone
the flat surfaces of a solid figure are the
A parallelopiped has six faces that are parallelogram - like a cuboid that has been distorted by pushing opposite vertices in opposite directions (the three dimensional equivalent of distorting a rectangle into a parallelogram). A solid with two rectangular faces would be a special case of a parallelopiped.
Any solid object has a surface, and there are almost as many types of surfaces as there are classifications of objects. Surfaces can be smooth, granular, abrasive, glossy, flat, curved, and in any shape or texture imaginable.