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The distance between two points on a map is 5 cm. The scale of the map is 1: 6,00,000. The actual distance between the two points (in km) is:
30,000
3000
30
300
30
Multiply the map distance by the scale ratio, then divide by 1,00,000 to convert centimeters directly into kilometers (since 1 km = 1,00,000 cm).
Map distance = 5 cm, Scale = 1 : 6,00,000
Actual┬аDistance=(Map┬аDistance)├Ч(Scale┬аFactor)
Multiply the map distance by the scale ratio, then divide by 1,00,000 to convert centimeters directly into kilometers (since 1 km = 1,00,000 cm).
Confusing the number of zeros in 6,00,000 or forgetting to convert centimeters to kilometers, leading to an answer in cm instead of km.
Calculate distance in centimeters
The scale 1 : 6,00,000 means 1 cm on the map represents 6,00,000 cm in reality. Multiply the given map distance by the scale factor.
6,00,000├Ч5=30,00,000┬аcm
Convert centimeters to kilometers
To convert centimeters to kilometers, divide by 1,00,000 because 1 km = 1,000 m and 1 m = 100 cm, so 1 km = 1,00,000 cm.
30,00,000├╖1,00,000=30┬аkm
C is correct because the calculation of 5 cm at a scale of 1 : 6,00,000 results in 30,00,000 cm, which is equivalent to 30 km.
This type of conversion is frequently tested in Geography map-reading questions and Physics scale-drawing problems.
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