Question

Найдите масштаб карты если 4,5 см на карте соответствуют 18 км Найдите масштаб карты если 6 дм на карте соответствуют 2460км

Answer 1

18:4,5=4, значит в 1см 4 км, значит масштаб 1:400 000 (1:4 и дописываешь 5 нулей всегда)
2460:60см=41 км в 1 см., значит масштаб 1:4 100 000

Answer 2

Calculation of Map Scale

To find the scale of a map, we need to determine the ratio between the distances on the map and the corresponding distances in the real world. In the given examples, we have the following information:

Example 1: - 4.5 cm on the map corresponds to 18 km in the real world.

Example 2: - 6 dm on the map corresponds to 2460 km in the real world.

Let's calculate the scale for each example.

Example 1: 4.5 cm on the map corresponds to 18 km in the real world

To find the scale, we need to determine how many kilometers are represented by one centimeter on the map.

Let's assume the scale is represented as 1:X, where X is the number we need to find.

We can set up the following proportion:

4.5 cm on the map / 18 km in the real world = 1 cm on the map / X km in the real world

Simplifying the proportion:

4.5 / 18 = 1 / X

Cross-multiplying:

4.5 * X = 18 * 1

Solving for X:

X = 18 * 1 / 4.5

X = 4

Therefore, the scale of the map is 1:4. This means that 1 cm on the map represents 4 km in the real world.

Example 2: 6 dm on the map corresponds to 2460 km in the real world

To find the scale, we need to determine how many kilometers are represented by one decimeter on the map.

Let's assume the scale is represented as 1:Y, where Y is the number we need to find.

We can set up the following proportion:

6 dm on the map / 2460 km in the real world = 1 dm on the map / Y km in the real world

Simplifying the proportion:

6 / 2460 = 1 / Y

Cross-multiplying:

6 * Y = 2460 * 1

Solving for Y:

Y = 2460 * 1 / 6

Y = 410

Therefore, the scale of the map is 1:410. This means that 1 decimeter on the map represents 410 km in the real world.

Summary

- In Example 1, the scale of the map is 1:4. This means that 1 cm on the map represents 4 km in the real world. - In Example 2, the scale of the map is 1:410. This means that 1 decimeter on the map represents 410 km in the real world.