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Tying up logs An Investigation Tying up Logs This investigation involves tying up logs with rope and trying to find the ‘best’ i.e. uses least rope,

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Presentation on theme: "Tying up logs An Investigation Tying up Logs This investigation involves tying up logs with rope and trying to find the ‘best’ i.e. uses least rope,"— Presentation transcript:

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2 Tying up logs An Investigation

3 Tying up Logs This investigation involves tying up logs with rope and trying to find the ‘best’ i.e. uses least rope, way to tie up the logs depending on how many logs have to be grouped together. RopeLogs In each diagram find the length of rope needed to tie the logs together. [The logs are all identical and have a diameter of 1 foot] What length of rope would be needed for 5, 6 and 7 logs using the above arrangement? (i)(ii) (iii) Leave all your answers in terms of

4 A timber merchant is involved each day in tying up thousands of logs before transporting them and he needs to consider different arrangements for tying the logs. Consider each arrangement below and work out the length of rope needed to tie the logs. (iv) 3 logs (v) 4 logs (vi) 4 logs(vii) 5 logs

5 So what is the best way of tying up (i) 2 logs (ii) 3 logs (iii) 4 logs (iv) 5 logs (v) 6 logs Investigate tying up logs for larger numbers of logs using different arrangements. (viii) 5 logs (ix) 6 logs (x) 6 logs (xi) 6 logs

6 QuestionSolutionQuestionSolution (i)(vii) (ii)(viii) (iii)(ix) (iv)(x) (v)(xi) (vi) Solutions


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