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On a certain map, every 1 cm represents 10 km on Earth's surface. Which

ratio represents the scale of the map, which shows how the map
measurements compare to actual ones on Earth's surface?
A. 1:1,000,000
B. 1:1,000
C. 1,000,000:1
D. 1:10

1 Answer

5 votes

Final answer:

The scale ratio for a map in which 1 cm represents 10 km is 1:1,000,000, as 10 km equals 1,000,000 cm when we use the conversions 1 km = 1000 m and 1 m = 100 cm.

Step-by-step explanation:

The question is asking to determine the scale ratio for a map where 1 cm on the map represents 10 km on Earth's surface. To find the scale ratio, we'll use the given conversions:

  • 1 km = 1000 m
  • 1 m = 100 cm

Firstly, we convert 10 km to meters: 10 km = 10 × 1000 m = 10,000 m. Then, we convert meters to centimeters: 10,000 m = 10,000 × 100 cm = 1,000,000 cm.

Since 1 cm on the map equals 1,000,000 cm on the ground, the scale ratio is 1:1,000,000.

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