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What is the difference between vertices ...

What is the difference between vertices and edges of a cube ?

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To find the difference between the vertices and edges of a cube, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Number of Vertices in a Cube**: - A cube has 8 vertices. These are the corners where the edges meet. 2. **Identify the Number of Edges in a Cube**: - A cube has 12 edges. These are the line segments that connect the vertices. 3. **Calculate the Difference**: - To find the difference between the number of edges and vertices, we subtract the number of vertices from the number of edges. - This can be expressed mathematically as: \[ \text{Difference} = \text{Number of Edges} - \text{Number of Vertices} \] - Plugging in the values: \[ \text{Difference} = 12 - 8 \] 4. **Perform the Subtraction**: - Now, we perform the subtraction: \[ 12 - 8 = 4 \] 5. **Conclusion**: - The difference between the vertices and edges of a cube is 4. ### Final Answer: The difference between the vertices and edges of a cube is 4.
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