Let’s go through each question one by one, identifying the 3D shape and counting the faces that match the description.
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1) Shape: Cone
>
Question: How many faces are circles?
- A cone has
2 faces: one flat circular base and one curved surface.
- The
circular face is the base — that’s
1 circle.
- The curved surface is not a “face” in the strict polyhedral sense (it’s curved), but in elementary geometry, especially at this level, we often count the base as a face.
- So,
only 1 face is a circle.
✔ Answer: 1
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2) Shape: Triangular Prism
>
Question: How many faces are triangles?
- A triangular prism has 5 faces total: 2 triangular bases and 3 rectangular sides.
- The
triangular faces are the two bases →
2 triangles.
✔ Answer: 2
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3) Shape: Square Pyramid
>
Question: How many faces are squares?
- A square pyramid has 5 faces: 1 square base and 4 triangular sides.
- Only the
base is a square →
1 square face.
✔ Answer: 1
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4) Shape: Rectangular Prism (Cuboid)
>
Question: How many faces are triangles?
- A rectangular prism has 6 rectangular faces.
-
None of them are triangles.
✔ Answer: 0
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5) Shape: Pentagonal Pyramid
>
Question: How many faces are triangles?
- A pentagonal pyramid has 6 faces: 1 pentagonal base and 5 triangular lateral faces.
- The
triangular faces = 5.
✔ Answer: >3 (since 5 > 3)
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6) Shape: Pentagonal Prism
>
Question: How many faces are pentagons?
- A pentagonal prism has 7 faces: 2 pentagonal bases and 5 rectangular sides.
- The
pentagon faces = 2 (the top and bottom).
✔ Answer: 2
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7) Shape: Octahedron (or two square pyramids glued together)
>
Question: How many faces are triangles?
- This is a regular octahedron — it has
8 triangular faces.
- All faces are triangles.
✔ Answer: >3 (since 8 > 3)
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✔ Final Answers:
| Question | Answer |
|----------|--------|
| 1 | 1 |
| 2 | 2 |
| 3 | 1 |
| 4 | 0 |
| 5 | >3 |
| 6 | 2 |
| 7 | >3 |
You would tick the corresponding box for each row.
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Summary of reasoning:
- Always identify the 3D shape first.
- Count only the faces that match the specific polygon mentioned (circle, triangle, square, pentagon).
- Remember: curved surfaces (like cone’s side) are usually not counted as “faces” in this context unless specified — here, only the flat circular base counts.
- For “>3”, use it when the number is 4 or more.
Let me know if you’d like a visual breakdown too!
Parent Tip: Review the logic above to help your child master the concept of polyhedron worksheet.
