To solve the problem, we need to identify the number of
faces,
edges, and
vertices for each 3D shape shown in the image. Let's analyze each shape step by step:
---
1. Cube
-
Faces: A cube has 6 square faces.
-
Edges: A cube has 12 edges.
-
Vertices: A cube has 8 vertices.
Answer:
- Faces: 6
- Edges: 12
- Vertices: 8
---
2. Rectangular Prism (Cuboid)
-
Faces: A rectangular prism has 6 faces (all rectangles).
-
Edges: A rectangular prism has 12 edges.
-
Vertices: A rectangular prism has 8 vertices.
Answer:
- Faces: 6
- Edges: 12
- Vertices: 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). However, typically in such problems, only the flat surfaces are counted as "faces," so we count 2 faces.
-
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 sharp corners.
Answer:
- Faces: 2
- Edges: 2
- Vertices: 0
---
4. Cone
-
Faces: A cone has 2 faces: 1 curved surface and 1 circular base. Again, typically only the flat surfaces are counted as "faces," so we count 1 face.
-
Edges: A cone has 1 edge (the circular edge of the base).
-
Vertices: A cone has 1 vertex (the尖端).
Answer:
- Faces: 1
- Edges: 1
- Vertices: 1
---
5. Sphere
-
Faces: A sphere has 0 faces because it is a perfectly round object with no flat surfaces.
-
Edges: A sphere has 0 edges because it has no straight lines.
-
Vertices: A sphere has 0 vertices because it has no sharp corners.
Answer:
- Faces: 0
- Edges: 0
- Vertices: 0
---
Final Answers:
1.
Cube:
- Faces: 6
- Edges: 12
- Vertices: 8
2.
Rectangular Prism:
- Faces: 6
- Edges: 12
- Vertices: 8
3.
Cylinder:
- Faces: 2
- Edges: 2
- Vertices: 0
4.
Cone:
- Faces: 1
- Edges: 1
- Vertices: 1
5.
Sphere:
- Faces: 0
- Edges: 0
- Vertices: 0
---
Boxed Final Answer:
\[
\boxed{
\begin{array}{c|c|c|c}
& \text{Faces} & \text{Edges} & \text{Vertices} \\
\hline
1. \text{Cube} & 6 & 12 & 8 \\
2. \text{Rectangular Prism} & 6 & 12 & 8 \\
3. \text{Cylinder} & 2 & 2 & 0 \\
4. \text{Cone} & 1 & 1 & 1 \\
5. \text{Sphere} & 0 & 0 & 0 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of faces vertices edges worksheet.
