The Oklahoma Kite Company

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Presentation transcript:

The Oklahoma Kite Company The Oklahoma Kite Company makes kites, using best quality rip-stop nylon to cover the framework which is constructed of lightweight glass-fibre rods. In order to minimize costs the company must use all the materials with as little waste as possible. One of the problems they have in the company is how to fit the kite shape onto a long rectangular sheet of nylon in the most economical way. The dimensions of a kite are shown in the diagram and the nylon for making the kites is available in rectangular strips which can be up to 4 metres wide and up to 120 metres long.  30cm 120cm 60cm

For each configuration shown, calculate the minimum width of nylon necessary, the length required to produce 12 shapes and the percentage waste of material in each case A   B  C

 D  E

In each of the arrangements calculate the % waste in producing 48 kites per strip of nylon 120 kites per strip of nylon 180 kites per strip of nylon Which is the most economical method? If it is decided to use the maximum available length of 120 metres, what are the % waste figures now? Try configurations other than those shown above and see if you can find the most efficient way in which kites can be cut from the rectangular sheets. Investigate !

1. The two jugs when full can hold 18 litres and 30 litres. Exercise:- A girl has an unlimited supply of water from the tap in her house. She also has two jugs and a large water tank which has a tap on it as shown. 1. The two jugs when full can hold 18 litres and 30 litres. Explain how she can measure out an exact amount of (i) 24 litres (ii) 6 litres using the jugs and the water tank. 2. Suppose the two jugs hold 25 litres and 14 litres. Explain how she can measure out (i) 8 litres (ii) 13 litres Large Water Tank 21/01/2018

A solution: Identify the containers as A (small) and B (large) One way of doing it is to - Fill A and pour that into B. Fill A and pour as much as possible into B. This will leave 1 litre in A Empty B Pour the 1 litre from A into B Fill A and pour that into B. There will then be 4 litres in B. 21/01/2018