a satellite is 18 meter wide. a model of it was built with a scale of 1 centimeter : 3 meters. how wide is the middle?
To find the width of the middle on the model, we first need to find the scale factor by converting the width of the satellite and the scale to the same units.
The width of the satellite is 18 meters and the scale is 1 centimeter : 3 meters.
Converting the scale to meters:
1 centimeter = 0.01 meter (since there are 100 centimeters in 1 meter)
So, the scale is 0.01 : 3 meters
Now, we need to find the scale factor:
Scale factor = Width of satellite / Width of model
Scale factor = 18 meters / 0.01 meters = 1800
Now, to find the width of the middle on the model:
Width of middle on model = Width of middle on satellite / Scale factor
Width of middle on model = X / 1800
Since the middle on the model is in the middle of the satellite, it is half of the width of the satellite:
Width of middle on satellite = 18 meters / 2 = 9 meters
Now we can calculate the width of the middle on the model:
Width of middle on model = 9 meters / 1800 = 0.005 meters
Therefore, the width of the middle on the model is 0.005 meters.