A prism has a base that is a 12-sided polygon. The prism has vertices.

Answer: The answer is 24.

Step-by-step explanation: Given that the base of a prism is a 12-sided polygon. We are to find the number of vertices of the prism.

We know that a prism having base as n-sided polygon has 2n vertices, (n+2) faces and 3n edges.

Here, n = 12.

Therefore, number of vertices = 12 * 2 = 24,

number of faces = 120 + 2 = 14

and

the number of edges = 12 * 3 = 36.

Thus, the number of vertices of the prism is 24.