How many vertices are there in a triangular prism?

A prism is a solid bounded by two congruent, parallel polygonal bases joined by rectangular lateral faces. For any n-sided prism, the vertex count equals 2n (n vertices on each base), and every convex polyhedron must satisfy Euler's formula: V − E + F = 2.

1. A triangular prism has two triangular bases, each with 3 vertices.

2. Total vertices = vertices on the top base + vertices on the bottom base = 3 + 3 = 6.

Check using Euler's formula. A triangular prism has 5 faces (2 triangular bases + 3 rectangular sides) and 9 edges (3 on each base + 3 vertical edges connecting them). V − E + F = 6 − 9 + 5 = 2, which matches Euler's formula and confirms 6 vertices.