earth diameter is 13000 kilometers, globe diameter of0.5 meter, what is the globes scale as a ratio. What distance on Earth would 1 cm on the globe represent?
To find the globe's scale as a ratio, we need to divide the globe's diameter by the Earth's diameter:
Globe Scale = Globe Diameter / Earth Diameter
Given:
Earth Diameter = 13,000 kilometers
Globe Diameter = 0.5 meters
Convert the Earth's diameter to meters:
Earth Diameter = 13,000 kilometers * 1,000 meters/kilometer = 13,000,000 meters
Now, we can calculate the globe's scale:
Globe Scale = 0.5 meters / 13,000,000 meters
Simplifying the ratio, we get:
Globe Scale = 1 / 26,000,000 or approximately 1:26,000,000
This means that 1 cm on the globe represents 26,000,000 cm on Earth. To find the corresponding distance on Earth, we can divide this number by 100 to convert cm to meters:
1 cm on Earth = (26,000,000 cm / 100) meters
Simplifying, we get:
1 cm on Earth = 260,000 meters
Therefore, 1 cm on the globe would represent a distance of 260,000 meters on Earth.
To find the scale of the globe, we need to compare the diameter of the Earth to the diameter of the globe.
Given:
Earth diameter = 13000 kilometers
Globe diameter = 0.5 meter (or 0.0005 kilometers)
First, let's calculate the scale of the globe as a ratio:
Scale = Globe diameter / Earth diameter
Scale = 0.0005 kilometers / 13000 kilometers
Scale = 0.00000003846
This means that the globe scale is 1:0.00000003846 (read as "1 to 0.00000003846").
To determine the distance on Earth that 1 cm on the globe represents, we can use the scale ratio:
1 cm on the globe = x distance on Earth
Scale = x distance on Earth / 1 centimeter on the globe
Since the scale ratio is very small, we can approximate it as approximately 0.00000003846:
0.00000003846 = x distance on Earth / 1 cm
Now, solve for x distance on Earth:
x distance on Earth = 0.00000003846 * 1 cm
x distance on Earth = 0.00000003846 cm
Therefore, 1 centimeter on the globe represents approximately 0.00000003846 centimeters on Earth.
1 km = 1000 m
1 m = 100 cm
1 km = 1000 * 100 = 100,000 cm
13,000 km = 13,000 * 100,000 = 1,300,000,000 cm
1 m = 100 cm
0.5 m = 50 cm
1,300,000,000 cm / 50 cm = 26,000,000
Globes scale as a ratio:
1 : 26,000,000
If 50 cm represent 13,000 km
then 1 cm represent :
13,000 / 50 = 260 km distance on Earth