A cube has six plane surfaces -- top, bottom, and four sides.
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A cube has three planes of symmetry.
According to Websters: Prism: a polyhedron with two polygonal faces lying in parallel planes and with the other faces parallelograms. That would describe a cube. so Yes.
It depends on which type of cuboid we are talking about. If it is a CUBE (a special type of cuboid), then it has nine planes of symmetry. If it is a cuboid with length, width and height all different, then it has three planes of symmetry. If it is a cuboid with two equal measurements (say width and length), then it has five planes of symmetry.
A cube has 8 vercities.