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The sum of the lengths of all the edges of a cube is 60 cm, then the length of the edge of the cube is

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To find the length of the edge of a cube when the sum of the lengths of all its edges is given, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the properties of a cube**: A cube has 12 edges, and all edges are of equal length. 2. **Let the length of each edge be denoted as 'a'**. 3. **Calculate the total length of all edges**: Since there are 12 edges in a cube, the total length of all edges can be expressed as: \[ \text{Total length of edges} = 12 \times a \] 4. **Set up the equation**: According to the problem, the sum of the lengths of all the edges is 60 cm. Therefore, we can set up the equation: \[ 12a = 60 \] 5. **Solve for 'a'**: To find the length of one edge, divide both sides of the equation by 12: \[ a = \frac{60}{12} \] 6. **Calculate the value**: \[ a = 5 \text{ cm} \] 7. **Conclusion**: The length of each edge of the cube is 5 cm. ### Final Answer: The length of the edge of the cube is **5 cm**. ---

To find the length of the edge of a cube when the sum of the lengths of all its edges is given, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the properties of a cube**: A cube has 12 edges, and all edges are of equal length. 2. **Let the length of each edge be denoted as 'a'**. ...
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