State whether true (T) or false (F) : A cuboid has more edges than vertices .
Text Solution
AI Generated Solution
The correct Answer is:
To determine whether the statement "A cuboid has more edges than vertices" is true or false, we can analyze the properties of a cuboid.
### Step-by-Step Solution:
1. **Define a Cuboid**: A cuboid is a three-dimensional shape with six rectangular faces. It has length, width, and height.
2. **Count the Vertices**:
- A cuboid has 8 vertices. These are the points where the edges meet.
- To visualize, think of a box: each corner of the box represents a vertex.
3. **Count the Edges**:
- A cuboid has 12 edges. These are the line segments where two faces meet.
- Again, if you visualize a box, each edge is a line connecting two vertices.
4. **Compare Edges and Vertices**:
- Now, we compare the number of edges (12) to the number of vertices (8).
- Since 12 (edges) is greater than 8 (vertices), we conclude that a cuboid has more edges than vertices.
5. **State the Conclusion**:
- Therefore, the statement "A cuboid has more edges than vertices" is **True (T)**.
### Final Answer:
True (T)
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