What distance does 3.4 cm represent on a scale of:
A) 1:200
B) 1:25000
C)1:10000
D)1:500000
a) 3.4*200 = 680
b) 3.4*25000 = 85000
c) 3.4*10000 = 34000
d) 3.4*500000 = 1700000
a) 3.4*200 = 680cm = 6.8m
b) 3.4*25000 = 85000cm = 850m
c) 3.4*10000 = 34000cm = 340m
d) 3.4*500000 = 1700000cm = 17000m
To determine the distance represented by 3.4 cm on each scale, we need to understand what the scale notation means. The scale is typically given in the form of 1:X, where 1 unit on the map represents X units in the real world.
A) Scale 1:200:
For this scale, 1 cm on the map represents 200 cm in the real world. To find the distance represented by 3.4 cm, we multiply 3.4 by 200:
3.4 cm * 200 = 680 cm
Therefore, 3.4 cm represents 680 cm on a 1:200 scale.
B) Scale 1:25000:
In this case, 1 cm on the map represents 25,000 cm in the real world. To find the distance represented by 3.4 cm, we multiply 3.4 by 25,000:
3.4 cm * 25,000 = 85,000 cm
Thus, 3.4 cm represents 85,000 cm on a 1:25000 scale.
C) Scale 1:10000:
On this scale, 1 cm on the map represents 10,000 cm in the real world. To find the distance represented by 3.4 cm, we multiply 3.4 by 10,000:
3.4 cm * 10,000 = 34,000 cm
Hence, 3.4 cm represents 34,000 cm on a 1:10000 scale.
D) Scale 1:500000:
For this scale, 1 cm on the map represents 500,000 cm in the real world. To find the distance represented by 3.4 cm, we multiply 3.4 by 500,000:
3.4 cm * 500,000 = 1,700,000 cm
Therefore, 3.4 cm represents 1,700,000 cm on a 1:500000 scale.
In summary:
A) 3.4 cm represents 680 cm on a 1:200 scale.
B) 3.4 cm represents 85,000 cm on a 1:25000 scale.
C) 3.4 cm represents 34,000 cm on a 1:10000 scale.
D) 3.4 cm represents 1,700,000 cm on a 1:500000 scale.