Let's solve the problem by identifying the number of
faces,
edges, and
vertices for each 3D shape shown in the image.
---
🔷 1. Cone
-
Faces: 2
- 1 circular base + 1 curved surface (but often counted as 1 face in basic geometry, though technically a curved surface isn't a flat face).
- In elementary math:
1 flat face (base) +
1 curved surface → But typically,
only flat surfaces are counted as faces, so:
-
Faces = 1 (just the base)
-
Edges: 1
- The circular edge where the base meets the curved surface.
- But since it's a curve, not a straight line, some sources say
0 edges.
- However, in basic terms, it has
1 edge (the circular rim).
-
Vertices: 1
- The tip (apex) is a vertex.
✔ Answer:
- Faces:
1
- Edges:
1
- Vertices:
1
---
🔷 2. Cylinder
-
Faces: 3
- 2 circular bases (top and bottom) + 1 curved surface
- But again, only flat faces are counted as "faces" in basic geometry → So:
-
2 flat faces (top and bottom)
- Curved surface is not a face
- So:
2 faces
-
Edges: 2
- Two circular edges (top and bottom rims)
- But edges are usually straight lines — circles aren’t considered edges.
- So:
0 edges (if strict), but sometimes
2 edges are listed as the circular boundaries.
- In most elementary contexts:
2 edges (the two circular rims)
-
Vertices: 0
- No corners or points
✔ Answer:
- Faces:
2
- Edges:
2
- Vertices:
0
---
🔷 3. Cube
- A cube is a regular hexahedron.
-
Faces: 6 (all squares)
-
Edges: 12 (each face has 4 edges, shared between two faces)
-
Vertices: 8 (corners)
✔ Answer:
- Faces:
6
- Edges:
12
- Vertices:
8
---
🔷 4. Pyramid (Square Pyramid)
- This is a pyramid with a square base and 4 triangular faces.
-
Faces: 5
- 1 base + 4 triangular sides
-
Edges: 8
- Base has 4 edges, and 4 edges from base to apex
-
Vertices: 5
- 4 at the base, 1 at the top (apex)
✔ Answer:
- Faces:
5
- Edges:
8
- Vertices:
5
---
🔷 5. Rectangular Prism
- Also known as a cuboid.
- Similar to a cube but rectangular faces.
-
Faces: 6 (front, back, left, right, top, bottom)
-
Edges: 12
-
Vertices: 8
✔ Answer:
- Faces:
6
- Edges:
12
- Vertices:
8
---
🔷 6. Sphere
- A perfectly round 3D shape.
-
Faces: 0
- No flat surfaces
-
Edges: 0
- No edges (no straight lines)
-
Vertices: 0
- No corners
✔ Answer:
- Faces:
0
- Edges:
0
- Vertices:
0
---
✔ Final Answers:
| Shape | Faces | Edges | Vertices |
|--------------------|-------|-------|----------|
|
Cone | 1 | 1 | 1 |
|
Cylinder | 2 | 2 | 0 |
|
Cube | 6 | 12 | 8 |
|
Pyramid | 5 | 8 | 5 |
|
Rectangular Prism | 6 | 12 | 8 |
|
Sphere | 0 | 0 | 0 |
---
📝 Notes:
-
Face: A flat surface of a 3D shape.
-
Edge: A line segment where two faces meet (must be straight).
-
Vertex: A corner point where edges meet.
> ⚠️ For
cone and
cylinder, there's some variation in how "edges" and "faces" are defined depending on whether curved surfaces are included. But in
elementary education, they're typically treated as:
> - Cone: 1 face (base), 1 edge (rim), 1 vertex (tip)
> - Cylinder: 2 faces (bases), 2 edges (top and bottom rims), 0 vertices
So this matches what’s expected in a classroom setting.
Let me know if you'd like a printable version or visual explanation!
Parent Tip: Review the logic above to help your child master the concept of solid figures worksheet grade 2.
