Which of the following 3D shapes does not have a vertex?

Options

A. Pyramid
B. Prism
C. Cone
D. Sphere

Answer

To solve the question "Which of the following 3D shapes does not have a vertex?", we will analyze each shape mentioned in the video transcript step by step.

### Step 1: Identify the 3D Shapes
The shapes we need to consider are:
1. Pyramid
2. Prism
3. Cone
4. Sphere

### Step 2: Analyze Each Shape for Vertices

**Pyramid:**
- A pyramid has a base that can be a triangle, square, or any polygon.
- The apex (top point) of the pyramid is also a vertex.
- For example, a triangular pyramid has 4 vertices (3 from the base and 1 at the top).

**Prism:**
- A prism has two parallel bases that are congruent polygons.
- The vertices of the prism come from both bases.
- For example, a triangular prism has 6 vertices (3 from each triangular base).

**Cone:**
- A cone has a circular base and a single apex point.
- Therefore, a cone has only 1 vertex (the apex).

**Sphere:**
- A sphere is a perfectly round 3D shape with no edges or corners.
- Since vertices are formed where edges meet, and a sphere has no edges, it has no vertices.

### Step 3: Conclusion
Among the shapes analyzed, the sphere is the only shape that does not have any vertices.

### Final Answer
The shape that does not have a vertex is the **Sphere**.

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