Problem Overview:
The task is to identify the
name,
number of faces,
number of edges, and
number of vertices for each of the given 3D shapes. Let's solve this step by step.
---
Shapes and Their Properties:
####
1. Cone
-
Name: Cone
-
Faces: A cone has
2 faces – one curved surface and one circular base.
-
Edges: A cone has
1 edge – the circular edge where the base meets the curved surface.
-
Vertices: A cone has
1 vertex – the pointed top.
####
2. Sphere
-
Name: Sphere
-
Faces: A sphere has
0 faces – it is a perfectly round shape with no flat surfaces.
-
Edges: A sphere has
0 edges – it has no straight lines or boundaries.
-
Vertices: A sphere has
0 vertices – it has no corners or points.
####
3. Cube
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Name: Cube
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Faces: A cube has
6 faces – all are square-shaped.
-
Edges: A cube has
12 edges – each face is bounded by 4 edges, but each edge is shared by two faces.
-
Vertices: A cube has
8 vertices – each corner where three edges meet.
####
4. Cylinder
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Name: Cylinder
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Faces: A cylinder has
3 faces – two circular bases and one curved surface.
-
Edges: A cylinder has
2 edges – the circular edges where the bases meet the curved surface.
-
Vertices: A cylinder has
0 vertices – it has no corners or points.
####
5. Rectangular Prism (Cuboid)
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Name: Rectangular Prism (or Cuboid)
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Faces: A rectangular prism has
6 faces – all are rectangular.
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Edges: A rectangular prism has
12 edges – similar to a cube, but the faces are rectangles instead of squares.
-
Vertices: A rectangular prism has
8 vertices – each corner where three edges meet.
####
6. Tetrahedron
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Name: Tetrahedron
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Faces: A tetrahedron has
4 faces – all are triangular.
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Edges: A tetrahedron has
6 edges – each face is a triangle, and each edge is shared by two faces.
-
Vertices: A tetrahedron has
4 vertices – each corner where three edges meet.
---
Filled Table:
| Shape Image | Name | Faces | Edges | Vertices |
|-------------|--------------|-------|-------|----------|
| Cone | Cone | 2 | 1 | 1 |
| Sphere | Sphere | 0 | 0 | 0 |
| Cube | Cube | 6 | 12 | 8 |
| Cylinder | Cylinder | 3 | 2 | 0 |
| Rectangular Prism | Rectangular Prism | 6 | 12 | 8 |
| Tetrahedron | Tetrahedron | 4 | 6 | 4 |
---
Final Answer:
\[
\boxed{
\begin{array}{|c|c|c|c|c|}
\hline
\text{Shape Image} & \text{Name} & \text{Faces} & \text{Edges} & \text{Vertices} \\
\hline
\text{Cone} & \text{Cone} & 2 & 1 & 1 \\
\hline
\text{Sphere} & \text{Sphere} & 0 & 0 & 0 \\
\hline
\text{Cube} & \text{Cube} & 6 & 12 & 8 \\
\hline
\text{Cylinder} & \text{Cylinder} & 3 & 2 & 0 \\
\hline
\text{Rectangular Prism} & \text{Rectangular Prism} & 6 & 12 & 8 \\
\hline
\text{Tetrahedron} & \text{Tetrahedron} & 4 & 6 & 4 \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of worksheet for class 2.
