Answer: the correct option is (A) 24.
Step-by-step explanation: We are given to find the number of vertices of a prism if its base is a 12-sided polygon.
We know that
if the base of a prism is an n-sided polygon, then the prism has 2n vertices.
For the given prism, the number of sides of the base is given by
n = 12.
Therefore, the number of vertices of the polygon will be

Thus, the prism has 24 vertices.
Option (A) is CORRECT.