Eight.
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A rectangular prism has 8 vertices/corners.
Yes a rectangular prism or cuboid has 8 vertices, 12 edges and 6 faces.
A rectangular prism has 8 vertices, a rectangular pyramid has 5 vertices, 8-5=3 more vertices, so yes.
A rectangular prism has 8 vertices.
A rectangular prism has 6 faces and 8 vertices. Hope this helps.