No.
A square is a two-dimensional (flat) figure. A prism is three-dimensional.
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A square prism is always a cuboid.
A square prism has 8 vertices.
A square prism has six sides
A square prism is shaped like a cubid. A square pyramid is a pyramid with a square base.
The base of a pentagonal prism is a pentagon. Just like a square pyramid has a square for a base, a pentagonal prism has a pentagon for a base.