No. It is a parallelopiped. And, if it is a right rectangular prism then it is a cuboid.
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No, a cube is a cube and a rectangular prism is a rectangular prism. They are two different shapes.
A Rubik's cube is a cube, therefore it is a type of rectangular prism.
A cube is a rectangular prism in which each edge is of the same length.
A cube is different to a rectangular prism because in a cube all the edges have to be equal in length, where's in a rectangular prism the edges can be of various lengths.
A cube cannot be a rectangular prism, as the cross section of this prism would be a rectangle, as opposed to a square. A square prism (if that is what it is called) could be a cube, but is not necessarily.