Yes, a cuboid is a prism.
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a cuboid * * * * * A prism, of which, a cuboid is a special case.
The answer depends on their relative dimensions.
A prism has the same cross section throughout its length no matter what form it may take i.e. a cubic prism, a cuboid prism, a triangular prism, a hexagonal prism, a cylindrical prism etc.
It is simply a square based prism or cuboid. It is NOT a cube, which also requires the length to be of the same size.