Yes
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A rectangular prism is a hexahedron with six rectangular faces, each on which meets two others at right angles. In the special case that the rectangles are squares the shape is a cube so a cube is a special case of a rectangular prism.
No. It is a parallelopiped. And, if it is a right rectangular prism then it is a cuboid.
They're 3D figures. Also, a cube is a type of rectangular prism (This can be taken from the fact that a square is a type of rectangle, because a rectangle is a parallelogram with right angles). Both figures have 6 faces, 8 vertices, and 12 edges. All the angles are right angles (in measure of 2-dimensional views). Note: Even though a cube is a type of rectangular prism, not all rectangular prisms are cubes.
They are both hexahedra with three pairs of parallel faces meeting, three at a time, at right angles. All edges (sides) of a cube are of equal length whereas in a rectangular prism they are not.
No, a cube is a cube and a rectangular prism is a rectangular prism. They are two different shapes.