Number Map Scales Models Saturday, 16 September 2006 ©RSH.

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Presentation transcript:

Number Map Scales Models Saturday, 16 September 2006 ©RSH

Background Map Scales This is a map of Milford Haven. The scale is 1 : 100 000 Saturday, 16 September 2006 ©RSH

Background A scale of 1 : 100 000 means that 1 cm on the map is equivalent to 100000 cm (1000 m or 1 km) in real life. Saturday, 16 September 2006 ©RSH

Background Map Scales This is another map of Milford Haven. The scale is 1 : 5000 Every 1 cm on the map is the same as 5000 cm (or 50 m) in real life. Saturday, 16 September 2006 ©RSH

Example On a map of scale 1 : 10000, a road is 3 cm long. How long is the actual road? Answer The road is 3 x 10000 cm = 30000 cm long = 300 m A field is 1.5 km long. How long would the field be on a a map of scale 1 : 50000? Answer 1.5 km = 1.5 x 1000 m 150000  50000 = 3 cm = 1500 m = 1500 x 100 cm The field is 3 cm long on the map = 150000 cm Saturday, 16 September 2006 ©RSH

Exercise On a map of scale 1 : 100 000, the distance between Tower Bridge and Hammersmith Bridge is 12.3 cm. What is the actual distance in km ? 12.3 x 100000 = 1230000 cm = 12300 m = 12.3 km If the scale of a map is 1 : 10 000, what will be the length on this map of a road which is 5 km long ? 5 km = 5 x 1000 x 100 = 500000 cm 500000  10000 = 50 cm Saturday, 16 September 2006 ©RSH

Background Scales Scales are also used to make models. This is a model of a sports car using a scale of 1 : 18. Every measurement on the model is 18 times smaller than on the real car. Every measurement on the real car is 18 times bigger than on the model. Saturday, 16 September 2006 ©RSH

Exercise A model of airplane is made using a scale of 1 : 20. The wing of the model is 30 cm. How long is the wing on the real plane ? The tail fin of the real plane is 3 m high. How high is it on the model ? 30 x 20 = 600 cm = 6 m 3m = 300 cm 300  20 = 15 cm Saturday, 16 September 2006 ©RSH