Which of the following solids has the highest number of vertices?

Options

A. Triangular Prism
B. Hexagonal pyramid
C. Tetrahedron
D. Cuboid

Answer

To determine which solid has the highest number of vertices among the given options, we will analyze each solid one by one.

### Step 1: Understand the definition of vertices
A vertex is defined as the point where two or more edges meet. In three-dimensional shapes, vertices are the corners or points of intersection.

### Step 2: Count the vertices for each solid

1. **Cuboid:**
- A cuboid has 8 vertices.
- These vertices are located at each corner of the cuboid.

2. **Tetrahedron:**
- A tetrahedron has 4 vertices.
- It is a three-dimensional shape with four triangular faces.

3. **Hexagonal Pyramid:**
- A hexagonal pyramid has 7 vertices.
- It consists of a hexagonal base and a single apex (top vertex).

4. **Triangular Prism:**
- A triangular prism has 6 vertices.
- It has two triangular bases and three rectangular faces connecting the bases.

### Step 3: Compare the number of vertices
- Cuboid: 8 vertices
- Tetrahedron: 4 vertices
- Hexagonal Pyramid: 7 vertices
- Triangular Prism: 6 vertices

### Step 4: Identify the solid with the highest number of vertices
From the counts above, we see that the cuboid has the highest number of vertices, which is 8.

### Conclusion
The solid with the highest number of vertices is the **Cuboid**.

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