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State whether true (T) or false (F) : ...

State whether true (T) or false (F) :
A cuboid has more edges than vertices .

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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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