Is a square prism the same as a cube?

Step 1: Comparing a cube with a square prism
A prism is a polyhedron whose base and top are congruent.
A square prism has the base and top as equal squares but its lateral faces need not be equal.
But a cube has base, top and lateral faces all congruent.
Hence, a square prism is not the same as a cube.
Hence, A square prism is not a cube since its lateral faces need not be congruent to the base and top.