A map is drawn to the scale of 1:700. Find the actual distance, in m, of the length of a road that is 6cm on the map
Answers
Step-by-step explanation:
Calculating distance on a map
In order to explain straight line distance an example will be used:
Step 1
distance on a map is calculated between two points, for example between a school and a museum.
You firstly need to measure the length using a ruler with clear cm or mm units from the school to the museum.
Step 2
You now need to write the measurement down that you measured using a ruler from the school to the museum.
e.g. 4cm
Step 3
Check the scale of the map on which the school and the museum are found.
e.g. 1:50 000
Then multiply the distance between the school and the museum by the scale on the map.
e.g. 4 cm x 50 000
= 200 000 cm
Step 4
The answer above now needs to be converted to the unit of distance in reality e.g. kilometres (km).
We use the following scale for conversion:
km
h
dam
m
dm
cm
mm
1
0
0
0
0
0
We have used centimetres to measure the distance between the school and the museum, therefore, we must convert centimetres to kilometres.
This you achieve by placing 1 under the kilometre box on the scale and placing zeros as you move towards the right until you reach centimetres. According to the conversion scale above, 1km is equal 100 000cm.
Then to convert your centimetres to kilometres you will have to divide the 200 000cm by 100 000.
= 200 000
100 000
= 2 km
This means that the distance between the school and the museum is 4cm on the map but in reality it is 2km.
Summary
To calculate distance on a map you must do the following:
Measure distance between two points on a map in cm or mm.
Multiply this by the scale of the map and divide by 100 000 if you used centimetres or by 1000 000 if you used millimetres to get kilometres.
Should the distance be required in metres, then you will divide centimetres by 100 or millimetres by 1000 according to the following table.
km
h
dam
m
dm
cm
mm
1
0
0
1m = 100 cm
4. Sometimes distance can be calculated along a winding river or path, this you
do by using a piece of a string placed along the winding object and thereafter
stretch it along the units of your ruler to determine the length and then
calculate as shown in the previous steps.
Answer:
1 cm on a map represents 700
9cm on a map represents=9x700=6300cm
cm =6300/100=63m
Step-by-step explanation: