Educational math worksheet on identifying faces, edges, and vertices of 3D shapes.

Let's solve each question in the "Faces, Edges, and Vertices - MCQ" worksheet step by step. We'll identify the 3D shapes shown in each image and count their faces, edges, and vertices.

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Question 1: How many edges does this shape have?

Shape: A triangular prism (a 3D shape with two triangular bases and three rectangular sides).

- Edges:
- Each triangle has 3 edges → 2 triangles = 6 edges
- But the edges connecting the triangles are shared.
- Actually, a triangular prism has:
- 3 edges on the top triangle
- 3 edges on the bottom triangle
- 3 vertical edges connecting corresponding vertices
→ Total = 9 edges

✔ Answer: d) 9

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Question 2: How many faces does this shape have?

Shape: A rectangular prism (cube-like) – looks like a box.

- Faces:
- Top, bottom, front, back, left, right → 6 faces

✔ Answer: a) 6

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Question 3: How many vertices does this shape have?

Shape: A cube or rectangular prism (same as above).

- Vertices:
- A cube has 8 corners (vertices)

✔ Answer: b) 8

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Question 4: How many faces does this shape have?

Shape: A square pyramid (a base that is a square, and 4 triangular faces meeting at a point).

- Faces:
- 1 square base
- 4 triangular faces
→ Total = 5 faces

✔ Answer: a) 5

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Question 5: How many edges does this shape have?

Shape: A cuboid (rectangular prism) – same as in Q2.

- Edges:
- A cuboid has 12 edges:
- 4 on the top face
- 4 on the bottom face
- 4 vertical edges connecting them
→ Total = 12 edges

✔ Answer: b) 12

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Question 6: How many vertices does this shape have?

Shape: A cylinder

- Vertices:
- A cylinder has no vertices because it has curved surfaces and no sharp corners.
- The top and bottom are circles (no corners), so 0 vertices

✔ Answer: c) 0

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✔ Final Answers:

1. d) 9
2. a) 6
3. b) 8
4. a) 5
5. b) 12
6. c) 0

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📌 Summary Table:

| Question | Shape | Faces | Edges | Vertices |
|--------|-------------------|-------|-------|----------|
| 1 | Triangular Prism | 5 | 9 | 6 |
| 2 | Rectangular Prism | 6 | 12 | 8 |
| 3 | Rectangular Prism | 6 | 12 | 8 |
| 4 | Square Pyramid | 5 | 8 | 5 |
| 5 | Rectangular Prism | 6 | 12| 8 |
| 6 | Cylinder | 3 | 0 | 0 |

> Note: Cylinders have 3 faces (2 circular + 1 curved), but no edges or vertices in the traditional geometric sense.

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