To solve the problem, we need to count the number of
faces and
vertices for each 3-dimensional shape shown in the image. Let's go through each shape step by step.
---
1. Cube
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Shape: A cube is a 3D shape with all faces being squares.
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Faces: A cube has 6 square faces.
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Vertices: A cube has 8 vertices (corners).
Answer:
- Faces: 6
- Vertices: 8
---
2. Cylinder
-
Shape: A cylinder has two circular bases and one curved surface.
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Faces: A cylinder has 3 faces: 2 circular faces (top and bottom) and 1 curved face.
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Vertices: A cylinder has 0 vertices because it does not have any sharp corners.
Answer:
- Faces: 3
- Vertices: 0
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3. Tetrahedron
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Shape: A tetrahedron is a pyramid with a triangular base and three triangular sides.
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Faces: A tetrahedron has 4 triangular faces.
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Vertices: A tetrahedron has 4 vertices.
Answer:
- Faces: 4
- Vertices: 4
---
4. Triangular Prism
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Shape: A triangular prism has two triangular bases and three rectangular lateral faces.
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Faces: A triangular prism has 5 faces: 2 triangular faces (bases) and 3 rectangular faces.
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Vertices: A triangular prism has 6 vertices.
Answer:
- Faces: 5
- Vertices: 6
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5. Rectangular Prism
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Shape: A rectangular prism has six rectangular faces.
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Faces: A rectangular prism has 6 faces.
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Vertices: A rectangular prism has 8 vertices.
Answer:
- Faces: 6
- Vertices: 8
---
6. Cone
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Shape: A cone has a circular base and a curved surface that tapers to a point.
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Faces: A cone has 2 faces: 1 circular face (base) and 1 curved face.
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Vertices: A cone has 1 vertex (the tip).
Answer:
- Faces: 2
- Vertices: 1
---
Final Answers:
1.
Cube
- Faces: 6
- Vertices: 8
2.
Cylinder
- Faces: 3
- Vertices: 0
3.
Tetrahedron
- Faces: 4
- Vertices: 4
4.
Triangular Prism
- Faces: 5
- Vertices: 6
5.
Rectangular Prism
- Faces: 6
- Vertices: 8
6.
Cone
- Faces: 2
- Vertices: 1
---
Summary Table:
| Shape | Faces | Vertices |
|---------------------|-------|----------|
| Cube | 6 | 8 |
| Cylinder | 3 | 0 |
| Tetrahedron | 4 | 4 |
| Triangular Prism | 5 | 6 |
| Rectangular Prism | 6 | 8 |
| Cone | 2 | 1 |
Final Answer:
\boxed{
\begin{array}{c|c|c}
\text{Shape} & \text{Faces} & \text{Vertices} \\
\hline
\text{Cube} & 6 & 8 \\
\text{Cylinder} & 3 & 0 \\
\text{Tetrahedron} & 4 & 4 \\
\text{Triangular Prism} & 5 & 6 \\
\text{Rectangular Prism} & 6 & 8 \\
\text{Cone} & 2 & 1 \\
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of faces edges vertices worksheet.
