To solve the problem of identifying the
faces, edges, and vertices of the given 3D shapes, let's analyze each shape step by step.
1. Cone
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Name: 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 where the base meets the curved surface.
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Vertices: A cone has
1 vertex — the pointed top.
2. Cube
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Name: Cube
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Faces: A cube has
6 faces — all are squares.
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Edges: A cube has
12 edges — each edge is shared by two faces.
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Vertices: A cube has
8 vertices — each vertex is where three edges meet.
3. Rectangular Prism (Cuboid)
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Name: Rectangular Prism
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Faces: A rectangular prism has
6 faces — all are rectangles.
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Edges: A rectangular prism has
12 edges — each edge is shared by two faces.
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Vertices: A rectangular prism has
8 vertices — each vertex is where three edges meet.
4. Tetrahedron
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Name: Tetrahedron
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Faces: A tetrahedron has
4 faces — all are triangles.
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Edges: A tetrahedron has
6 edges — each edge is shared by two faces.
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Vertices: A tetrahedron has
4 vertices — each vertex is where three edges meet.
5. Sphere
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Name: Sphere
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Faces: A sphere has
0 faces — it is a perfectly round object with no flat surfaces.
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Edges: A sphere has
0 edges — it has no straight lines.
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Vertices: A sphere has
0 vertices — it has no corners.
6. Triangular Prism
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Name: Triangular Prism
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Faces: A triangular prism has
5 faces — two triangular bases and three rectangular sides.
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Edges: A triangular prism has
9 edges — each edge is shared by two faces.
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Vertices: A triangular prism has
6 vertices — each vertex is where three edges meet.
7. Octahedron
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Name: Octahedron
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Faces: An octahedron has
8 faces — all are equilateral triangles.
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Edges: An octahedron has
12 edges — each edge is shared by two faces.
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Vertices: An octahedron has
6 vertices — each vertex is where four edges meet.
8. Cylinder
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Name: 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 where the bases meet the curved surface.
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Vertices: A cylinder has
0 vertices — it has no corners.
Summary Table
| Shape | Name | Faces | Edges | Vertices |
|------------------|--------------|-------|-------|----------|
| Cone | Cone | 2 | 1 | 1 |
| Cube | Cube | 6 | 12 | 8 |
| Rectangular Prism| Rectangular Prism | 6 | 12 | 8 |
| Tetrahedron | Tetrahedron | 4 | 6 | 4 |
| Sphere | Sphere | 0 | 0 | 0 |
| Triangular Prism | Triangular Prism | 5 | 9 | 6 |
| Octahedron | Octahedron | 8 | 12 | 6 |
| Cylinder | Cylinder | 3 | 2 | 0 |
Final Answer
\[
\boxed{
\begin{array}{|c|c|c|c|c|}
\hline
\text{Shape} & \text{Name} & \text{Faces} & \text{Edges} & \text{Vertices} \\
\hline
\text{Cone} & \text{Cone} & 2 & 1 & 1 \\
\text{Cube} & \text{Cube} & 6 & 12 & 8 \\
\text{Rectangular Prism} & \text{Rectangular Prism} & 6 & 12 & 8 \\
\text{Tetrahedron} & \text{Tetrahedron} & 4 & 6 & 4 \\
\text{Sphere} & \text{Sphere} & 0 & 0 & 0 \\
\text{Triangular Prism} & \text{Triangular Prism} & 5 & 9 & 6 \\
\text{Octahedron} & \text{Octahedron} & 8 & 12 & 6 \\
\text{Cylinder} & \text{Cylinder} & 3 & 2 & 0 \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of faces vertices edges worksheet.
