The correct answer is option 'C', which states that a cuboid has 8 vertices.

Introduction:
A cuboid is a three-dimensional shape with six rectangular faces, eight vertices, and twelve edges. It is also known as a rectangular prism.

Definition of a vertex:
In geometry, a vertex is a point where two or more edges meet. In other words, it is a corner of a shape or object.

Explanation:
To understand why a cuboid has 8 vertices, let's visualize a cuboid in our mind.

- A cuboid has six faces, and each face is a rectangle.
- Each face of a cuboid has four corners or vertices.
- Since a cuboid has six faces, the total number of vertices would be 4 * 6 = 24.

However, we need to consider that some vertices are shared by multiple faces.

- Each edge of a cuboid is shared by two faces.
- Since a cuboid has 12 edges, we have counted each vertex twice while counting the edges.
- So, the actual number of distinct vertices is 24 / 2 = 12.

But we are not done yet because some vertices are shared by three faces.

- In a cuboid, each corner is the point of intersection of three edges.
- Since each vertex is shared by three edges, we have counted each vertex thrice while counting the edges.
- So, the actual number of distinct vertices is 12 / 3 = 8.

Conclusion:
Therefore, a cuboid has 8 vertices. Each vertex is a point where three edges meet, and each vertex is shared by three faces of the cuboid.