Educational worksheet for children learning about 3D shapes, focusing on identifying faces, edges, and vertices.
Worksheet titled "3D Shapes - Faces, Edges, Vertices" from Teach My Kids, featuring a table to complete with 3D shapes including cube, cuboid, cylinder, prism, cone, and pyramid, each with columns for number of faces, edges, and vertices.
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Show Answer Key & Explanations
Step-by-step solution for: 3D Shapes - Faces, Edges, Vertices
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Show Answer Key & Explanations
Step-by-step solution for: 3D Shapes - Faces, Edges, Vertices
To solve the problem, we need to identify and count the faces, edges, and vertices (corners) for each 3D shape listed in the table. Let's go through each shape step by step:
---
- Faces: A cube has 6 square faces.
- Edges: A cube has 12 edges.
- Vertices: A cube has 8 vertices.
| Shape | Number of faces | Number of edges | Number of vertices (corners) |
|---------|------------------|------------------|------------------------------|
| Cube | 6 | 12 | 8 |
---
- Faces: A cuboid also has 6 faces (all rectangular).
- Edges: A cuboid has 12 edges.
- Vertices: A cuboid has 8 vertices.
| Shape | Number of faces | Number of edges | Number of vertices (corners) |
|---------|------------------|------------------|------------------------------|
| Cuboid | 6 | 12 | 8 |
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- Faces: A cylinder has 3 faces: 2 circular faces (top and bottom) and 1 curved surface (which is not a flat face but is often counted as one "face" in this context).
- Edges: A cylinder has 2 edges (the circular edges at the top and bottom).
- Vertices: A cylinder has 0 vertices because it does not have any corners.
| Shape | Number of faces | Number of edges | Number of vertices (corners) |
|---------|------------------|------------------|------------------------------|
| Cylinder| 3 | 2 | 0 |
---
- Faces: The prism shown is a triangular prism. It has 5 faces: 2 triangular faces (top and bottom) and 3 rectangular faces.
- Edges: A triangular prism has 9 edges.
- Vertices: A triangular prism has 6 vertices.
| Shape | Number of faces | Number of edges | Number of vertices (corners) |
|---------|------------------|------------------|------------------------------|
| Prism | 5 | 9 | 6 |
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- Faces: A cone has 2 faces: 1 curved surface and 1 circular base.
- Edges: A cone has 1 edge (the circular edge of the base).
- Vertices: A cone has 1 vertex (the tip).
| Shape | Number of faces | Number of edges | Number of vertices (corners) |
|---------|------------------|------------------|------------------------------|
| Cone | 2 | 1 | 1 |
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- Faces: The pyramid shown is a triangular pyramid (tetrahedron). It has 4 triangular faces.
- Edges: A triangular pyramid has 6 edges.
- Vertices: A triangular pyramid has 4 vertices.
| Shape | Number of faces | Number of edges | Number of vertices (corners) |
|---------|------------------|------------------|------------------------------|
| Pyramid | 4 | 6 | 4 |
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Putting all the information together, the completed table looks like this:
| Shape | Number of faces | Number of edges | Number of vertices (corners) |
|---------|------------------|------------------|------------------------------|
| Cube | 6 | 12 | 8 |
| Cuboid | 6 | 12 | 8 |
| Cylinder| 3 | 2 | 0 |
| Prism | 5 | 9 | 6 |
| Cone | 2 | 1 | 1 |
| Pyramid | 4 | 6 | 4 |
---
- Faces: These are the flat surfaces of the 3D shape.
- Edges: These are the lines where two faces meet.
- Vertices: These are the corners where edges meet.
Each shape was analyzed based on its geometric properties to determine the correct counts for faces, edges, and vertices.
---
$$
\boxed{
\begin{array}{|c|c|c|c|}
\hline
\text{Shape} & \text{Number of faces} & \text{Number of edges} & \text{Number of vertices (corners)} \\
\hline
\text{Cube} & 6 & 12 & 8 \\
\text{Cuboid} & 6 & 12 & 8 \\
\text{Cylinder} & 3 & 2 & 0 \\
\text{Prism} & 5 & 9 & 6 \\
\text{Cone} & 2 & 1 & 1 \\
\text{Pyramid} & 4 & 6 & 4 \\
\hline
\end{array}
}
$$
---
1. Cube
- Faces: A cube has 6 square faces.
- Edges: A cube has 12 edges.
- Vertices: A cube has 8 vertices.
| Shape | Number of faces | Number of edges | Number of vertices (corners) |
|---------|------------------|------------------|------------------------------|
| Cube | 6 | 12 | 8 |
---
2. Cuboid
- Faces: A cuboid also has 6 faces (all rectangular).
- Edges: A cuboid has 12 edges.
- Vertices: A cuboid has 8 vertices.
| Shape | Number of faces | Number of edges | Number of vertices (corners) |
|---------|------------------|------------------|------------------------------|
| Cuboid | 6 | 12 | 8 |
---
3. Cylinder
- Faces: A cylinder has 3 faces: 2 circular faces (top and bottom) and 1 curved surface (which is not a flat face but is often counted as one "face" in this context).
- Edges: A cylinder has 2 edges (the circular edges at the top and bottom).
- Vertices: A cylinder has 0 vertices because it does not have any corners.
| Shape | Number of faces | Number of edges | Number of vertices (corners) |
|---------|------------------|------------------|------------------------------|
| Cylinder| 3 | 2 | 0 |
---
4. Prism
- Faces: The prism shown is a triangular prism. It has 5 faces: 2 triangular faces (top and bottom) and 3 rectangular faces.
- Edges: A triangular prism has 9 edges.
- Vertices: A triangular prism has 6 vertices.
| Shape | Number of faces | Number of edges | Number of vertices (corners) |
|---------|------------------|------------------|------------------------------|
| Prism | 5 | 9 | 6 |
---
5. Cone
- Faces: A cone has 2 faces: 1 curved surface and 1 circular base.
- Edges: A cone has 1 edge (the circular edge of the base).
- Vertices: A cone has 1 vertex (the tip).
| Shape | Number of faces | Number of edges | Number of vertices (corners) |
|---------|------------------|------------------|------------------------------|
| Cone | 2 | 1 | 1 |
---
6. Pyramid
- Faces: The pyramid shown is a triangular pyramid (tetrahedron). It has 4 triangular faces.
- Edges: A triangular pyramid has 6 edges.
- Vertices: A triangular pyramid has 4 vertices.
| Shape | Number of faces | Number of edges | Number of vertices (corners) |
|---------|------------------|------------------|------------------------------|
| Pyramid | 4 | 6 | 4 |
---
Final Table
Putting all the information together, the completed table looks like this:
| Shape | Number of faces | Number of edges | Number of vertices (corners) |
|---------|------------------|------------------|------------------------------|
| Cube | 6 | 12 | 8 |
| Cuboid | 6 | 12 | 8 |
| Cylinder| 3 | 2 | 0 |
| Prism | 5 | 9 | 6 |
| Cone | 2 | 1 | 1 |
| Pyramid | 4 | 6 | 4 |
---
Explanation
- Faces: These are the flat surfaces of the 3D shape.
- Edges: These are the lines where two faces meet.
- Vertices: These are the corners where edges meet.
Each shape was analyzed based on its geometric properties to determine the correct counts for faces, edges, and vertices.
---
Final Answer
$$
\boxed{
\begin{array}{|c|c|c|c|}
\hline
\text{Shape} & \text{Number of faces} & \text{Number of edges} & \text{Number of vertices (corners)} \\
\hline
\text{Cube} & 6 & 12 & 8 \\
\text{Cuboid} & 6 & 12 & 8 \\
\text{Cylinder} & 3 & 2 & 0 \\
\text{Prism} & 5 & 9 & 6 \\
\text{Cone} & 2 & 1 & 1 \\
\text{Pyramid} & 4 & 6 & 4 \\
\hline
\end{array}
}
$$
Parent Tip: Review the logic above to help your child master the concept of faces vertices edges worksheet.