A carpenter cuts a 15-meter board into three pieces in the ratio 2:3:5. What is the length of the longest piece? - Decision Point
Title: How to Cut a 15-Meter Board into Ratios 2:3:5: Find the Longest Piece Easily
Title: How to Cut a 15-Meter Board into Ratios 2:3:5: Find the Longest Piece Easily
When a carpenter needs to cut a 15-meter board into three sections in the ratio 2:3:5, calculating the length of the longest piece is simple with the right approach. Whether you’re a DIY enthusiast or a woodworking student, understanding how to divide lengths proportionally helps achieve precision and efficiency.
Understanding the Context
Understanding the Ratio 2:3:5
The ratio 2:3:5 represents how the total length of 15 meters is split into three parts. Each number in the ratio corresponds to a segment:
- First part: 2 parts
- Second part: 3 parts
- Third part: 5 parts
The sum of the ratio parts is:
2 + 3 + 5 = 10 parts
Key Insights
Step-by-Step Calculation
- Total length = 15 meters
- Total ratio points = 10
- Length per ratio point = 15 ÷ 10 = 1.5 meters
- Lengths of each piece:
- First piece = 2 × 1.5 = 3 meters
- Second piece = 3 × 1.5 = 4.5 meters
- Third (longest) piece = 5 × 1.5 = 7.5 meters
- First piece = 2 × 1.5 = 3 meters
Conclusion: The Length of the Longest Piece
The longest piece is 7.5 meters — the result of dividing the 15-meter board in the ratio 2:3:5.
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This proportional splitting method ensures accuracy and saves time when working with long boards, making it essential in carpentry and construction projects.
Key Takeaways:
- Rate ratio chunks for precise cuts
- Total length ÷ total ratio points determines piece size
- Longest segment = max ratio number × (total length ÷ total ratio points)
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Looking to cut materials with perfect ratios? Apply the 2:3:5 method and get accurate cuts every time!
