Convert the given Representative Fraction (R. F.) into Statement of
Scale in the System of Measurement shown in parentheses:
1 : 100,000 (into km)
1 : 31680 (into furlongs)
1 : 126,720 (into miles)
1 : 50,000 (into metres)
Answers
The conversion of the given Representative Fraction (R. F.) into Statement of
Scale in the System of Measurement are as follows:
- 1 : 100,000 (into km)
It represents that 100,000 cm on a map represents 1 km on ground.
∴ 100,000 cm on map represents 100,000 cm on ground.
Therefore, 1 cm represents 1 km.
- 1 : 31680 (into furlongs)
1 mile = 8 furlongs
1 furlong = 220 yards
∴ When 31680 inches is divided by (12*3*220)furlongs , we get,
4 furlongs.
Therefore, 31680 inches represents 4 furlongs.
- 1 : 126,720 (into miles)
1 inch represents 126,720 inches.
1 mile= 63,360 inches
∴ 126,720 inches = 2 miles
Therefore, 1 inch represents 2 miles.
- 1 : 50,000 (into meters)
1 cm represents 50,000 cm
1 meter = 100 cm
Therefore, 1 cm represents 500 meters
Answer:
1 : 100,000 means that 1 unit on the map represents 100,000 units on the ground.
1 cm represents 100,000 '100,000 (1 km = 100,000 cm)
1 cm represents 1 kmkmkmkm
(ii) The given R. F. of 1 : 31 680 may be converted into Statement of Scale using the following steps :
1 : 31680 means that 1 unit on the map represents 31680 units on the ground.
1 inch represents 31680/7920 furlongs (1 Furlong = 7920 inches)
1 inch represents 4 furlongsfurlongs
Explanation:(iii) The given R. F. of 1 : 126,720 may be converted into Statement of Scale using the following steps :
1 : 126,720 means that 1 unit on the map represents 126,720 units on the ground.
1 inch represents 126,720163360 inches (1 mile = 63360 Inches)
1 Inch represents 2 miles
(iv) The given R. F. of 1 : 50,000 may be converted into Statement of Scale using the following steps :
1 : 50,000 means that 1 unit on the map represents 50,000 units on the ground.
1 cm represents 50,000 1100 metres (1 metre = 100 cms)
1 cm represents 500 metres