Let's solve this 3D shapes worksheet by filling in the number of
faces,
edges, and
vertices for each shape.
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🔷 Definitions:
-
Face: A flat surface of a 3D shape.
-
Edge: A line segment where two faces meet.
-
Vertex (plural: vertices): A corner where edges meet.
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✔ Let’s go through each shape:
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#### 1.
Sphere
-
Faces: A sphere has no flat surfaces — it's completely curved.
- So,
0 faces
-
Edges: No straight lines or boundaries —
0 edges
-
Vertices: No corners —
0 vertices
✔ Sphere → 0 faces, 0 edges, 0 vertices
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#### 2.
Cube
- A cube has:
-
6 faces (top, bottom, front, back, left, right)
- Each face is a square.
-
12 edges (each edge connects two faces)
-
8 vertices (corners where 3 edges meet)
✔ Cube → 6 faces, 12 edges, 8 vertices
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#### 3.
Rectangular Prism
- Similar to a cube, but with rectangular faces.
- It still has:
-
6 faces (all rectangles)
-
12 edges
-
8 vertices
✔ Rectangular prism → 6 faces, 12 edges, 8 vertices
> Note: This is the same as a cube in terms of count, just different face shapes.
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#### 4.
Cylinder
-
Faces:
- Two circular bases (top and bottom) → these are
flat faces
- One curved surface (but not considered a "face" in geometry since it's curved)
- So,
2 faces (only the flat ones count)
-
Edges:
- The top and bottom circles have edges, but they're curves.
- In 3D geometry,
edges are where two
flat faces meet.
- Since the curved side doesn’t form an edge with the flat faces (it's smooth), there are
no straight edges.
- So,
0 edges
-
Vertices:
- Corners? The circles don’t have corners →
0 vertices
✔ Cylinder → 2 faces, 0 edges, 0 vertices
> ⚠️ Note: Some sources might say cylinders have 2 edges (the circular rims), but in
elementary geometry, especially at this level, only
straight edges between flat faces are counted. So we use
0 edges here.
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✔ Final Answer Table:
| Shape | Faces | Edges | Vertices |
|--------------------|-------|-------|----------|
| Sphere | 0 | 0 | 0 |
| Cube | 6 | 12 | 8 |
| Rectangular prism | 6 | 12 | 8 |
| Cylinder | 2 | 0 | 0 |
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📝 Summary:
This worksheet helps students understand how 3D shapes differ in structure. Key takeaway:
-
Spheres and cylinders have curved surfaces and no edges or vertices.
-
Polyhedra like cubes and prisms have flat faces, edges, and vertices.
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 printable 3 dimensional shapes.
