Let's solve this 3D shapes worksheet step by step. The task is to fill in the number of
faces,
edges, and
vertices for each 3D 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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Now, let’s analyze each shape:
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1. Sphere
-
Faces: A sphere has no flat surfaces — it's completely curved.
→
0 faces
-
Edges: No straight lines or boundaries.
→
0 edges
-
Vertices: No corners.
→
0 vertices
✔ Sphere:
- Faces:
0
- Edges:
0
- Vertices:
0
---
2. Cube
- A cube has 6 square faces (top, bottom, front, back, left, right).
- Each face is connected to 4 others, forming 12 edges.
- Each corner is a vertex; there are 8 corners.
✔ Cube:
- Faces:
6
- Edges:
12
- Vertices:
8
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3. Rectangular Prism
- This is like a box (not necessarily all sides equal like a cube).
- It has 6 rectangular faces (same as a cube).
- It also has 12 edges and 8 vertices.
✔ Rectangular Prism:
- Faces:
6
- Edges:
12
- Vertices:
8
> Note: Even though it may look different from a cube, it has the same number of faces, edges, and vertices.
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4. Cylinder
-
Faces: Two flat circular bases (top and bottom) + one curved surface.
- But in geometry,
curved surfaces are not counted as faces unless specified.
- So, only the
two flat circular faces count.
→
2 faces
-
Edges: The cylinder has two circular edges (the rims of the top and bottom), but these are
not straight lines, so they are often considered
no edges in basic geometry.
→
0 edges (in elementary math)
-
Vertices: No sharp corners — smooth curves.
→
0 vertices
✔ Cylinder:
- Faces:
2
- Edges:
0
- Vertices:
0
> ⚠️ Note: Some advanced definitions might say cylinders have 2 edges (the circles), but in most elementary contexts, especially for kids,
edges refer to
straight lines, so we use
0 edges.
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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 the properties of common 3D shapes. The key idea is that:
-
Faces are flat surfaces,
-
Edges are straight lines where faces meet,
-
Vertices are points where edges meet.
For curved shapes like spheres and cylinders, we don’t count curved parts as faces, edges, or vertices in basic geometry.
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 nets and 3d shapes worksheet.
