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

State whether true (T) or false (F) :
A cube has 8 edges .

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The correct Answer is:
To determine whether the statement "A cube has 8 edges" is true or false, we can analyze the properties of a cube step by step. ### Step-by-Step Solution: 1. **Understand the Structure of a Cube**: - A cube is a three-dimensional shape with six square faces. 2. **Identify the Components of a Cube**: - A cube has: - **Vertices**: Points where the edges meet. - **Edges**: Line segments where two faces meet. - **Faces**: The flat surfaces of the cube. 3. **Count the Edges**: - Each face of the cube is a square, and each square has 4 edges. - However, each edge is shared between two faces. 4. **Calculate the Total Number of Edges**: - A cube has 6 faces, and since each edge is shared, we can count the edges: - The edges can be counted as follows: - 4 edges on the top face. - 4 edges on the bottom face. - 4 vertical edges connecting the top and bottom faces. - Total edges = 4 (top) + 4 (bottom) + 4 (vertical) = 12 edges. 5. **Conclusion**: - Since a cube has 12 edges, the statement "A cube has 8 edges" is **false**. ### Final Answer: - The statement is **False (F)**.
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