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Rectangular prism
A rectangular prism does not need to have any square faces. All its faces may be rectangular in shape. However, it may also have two or four square faces, yet still be a rectangular prism.
No unless it is in the shape of a cube
This depends on whether or not the prism is a rectangular prism or not. Simple shape prisms (rectangular, triangle, octagonal, hexagonal) all have rectangular faces.
Every rectangular prism does. That includes cubes.