Question

Слону на день рождения подарили глобус. Именинник решил узнать В каком масштабе сделан его подарок. Измерил длину экватора глобуса сантиметром и получил 2 м 56 см. Длину реального экватора слон округлил до 40000 км. Какой масштаб у него получился??

Answer 1

Составим пропорцию:
2,56 м соответствует 40000 км = 40*10^6 м
1 м соответствует 40*10^6 : 2,56 = 4000*10^6 : 256 = 1000*10^6 : 64 =
= 125*10^6 : 8 = 125000*10^3 : 8 = 15625*10^3 = 15625000 м
Значит, масштаб 1 : 15625000

Answer 2

Calculation of the Scale of the Globe

To determine the scale of the globe, we can compare the measured length of the globe's equator to the actual length of the Earth's equator.

The given information states that the measured length of the globe's equator is 2 meters and 56 centimeters. Meanwhile, the real length of the Earth's equator is rounded to 40,000 kilometers.

To calculate the scale, we can use the following formula:

Scale = Measured Length / Actual Length

Let's calculate the scale using the given measurements:

Scale = (2 meters + 56 centimeters) / 40,000 kilometers

To perform the calculation, we need to convert the measurements to the same unit. Let's convert the measured length to kilometers:

2 meters + 56 centimeters = 2.56 meters 1 meter = 0.001 kilometers

Therefore, the measured length in kilometers is: 2.56 meters * 0.001 kilometers/meter = 0.00256 kilometers

Now, we can calculate the scale:

Scale = 0.00256 kilometers / 40,000 kilometers

Calculating this division, we find that the scale is approximately:

Scale ≈ 6.4 * 10^(-8)

Therefore, the scale of the globe is approximately 6.4 * 10^(-8).

Please note that this calculation assumes a linear scale, which may not be entirely accurate for a globe. However, given the limited information provided, this is the best estimation we can make.