To solve the problem, we need to identify the number of faces, edges, and vertices for each 3D shape shown in the worksheet. Let's go through each shape step by step:
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1. Cube
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Faces: A cube has 6 square faces.
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Edges: A cube has 12 edges.
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Vertices: A cube has 8 vertices.
Answer:
- Faces: 6
- Edges: 12
- Vertices: 8
---
2. Triangular Pyramid (Tetrahedron)
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Faces: A triangular pyramid has 4 triangular faces.
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Edges: A triangular pyramid has 6 edges.
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Vertices: A triangular pyramid has 4 vertices.
Answer:
- Faces: 4
- Edges: 6
- Vertices: 4
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3. Prism
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Faces: The prism shown is a triangular prism. It has 5 faces: 2 triangular bases and 3 rectangular lateral faces.
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Edges: A triangular prism has 9 edges.
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Vertices: A triangular prism has 6 vertices.
Answer:
- Faces: 5
- Edges: 9
- Vertices: 6
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4. Cuboid
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Faces: A cuboid has 6 rectangular faces.
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Edges: A cuboid has 12 edges.
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Vertices: A cuboid has 8 vertices.
Answer:
- Faces: 6
- Edges: 12
- Vertices: 8
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5. Cone
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Faces: A cone has 2 faces: one curved surface and one circular base.
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Edges: A cone has 1 edge (the circular edge of the base).
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Vertices: A cone has 1 vertex (the apex).
Answer:
- Faces: 2
- Edges: 1
- Vertices: 1
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6. Cylinder
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Faces: A cylinder has 3 faces: two circular bases and one curved surface.
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Edges: A cylinder has 2 edges (the circular edges of the two bases).
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Vertices: A cylinder has 0 vertices.
Answer:
- Faces: 3
- Edges: 2
- Vertices: 0
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7. Sphere
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Faces: A sphere has 0 faces.
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Edges: A sphere has 0 edges.
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Vertices: A sphere has 0 vertices.
Answer:
- Faces: 0
- Edges: 0
- Vertices: 0
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8. Square Pyramid
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Faces: A square pyramid has 5 faces: one square base and 4 triangular lateral faces.
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Edges: A square pyramid has 8 edges.
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Vertices: A square pyramid has 5 vertices.
Answer:
- Faces: 5
- Edges: 8
- Vertices: 5
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Final Answer Summary
| Shape | Faces | Edges | Vertices |
|----------------------|-------|-------|----------|
|
Cube | 6 | 12 | 8 |
|
Triangular Pyramid | 4 | 6 | 4 |
|
Prism | 5 | 9 | 6 |
|
Cuboid | 6 | 12 | 8 |
|
Cone | 2 | 1 | 1 |
|
Cylinder | 3 | 2 | 0 |
|
Sphere | 0 | 0 | 0 |
|
Square Pyramid | 5 | 8 | 5 |
Boxed Final Answer:
\[
\boxed{
\begin{array}{|c|c|c|c|}
\hline
\text{Shape} & \text{Faces} & \text{Edges} & \text{Vertices} \\
\hline
\text{Cube} & 6 & 12 & 8 \\
\text{Triangular Pyramid} & 4 & 6 & 4 \\
\text{Prism} & 5 & 9 & 6 \\
\text{Cuboid} & 6 & 12 & 8 \\
\text{Cone} & 2 & 1 & 1 \\
\text{Cylinder} & 3 & 2 & 0 \\
\text{Sphere} & 0 & 0 & 0 \\
\text{Square Pyramid} & 5 & 8 & 5 \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 3d shapes worksheets.
