A map is drawn to a scale of 1:3000.two points on the map are 9.5cm apart .what is the actual distance between the points?
1:3000 means that 1 cm on the map represents 3000 cm in real life.
Thus, 9.5 cm on the map represents 9.5*3000 cm in real life.
Once you calculate this, you may wish to convert it to metres to make it more readable/understandable.
To find the actual distance between the points, you need to convert the distance on the map to the actual distance using the given scale.
First, let's convert the scale to a ratio by writing it as 1 cm to 3000 cm or 1 cm : 3000 cm.
Now, we know that on the map, the two points are 9.5 cm apart. Using the scale, we can set up the proportion:
1 cm (on the map) : 3000 cm (actual distance) = 9.5 cm (on the map) : x (actual distance)
Applying the cross-multiplication rule, we get:
1 cm * x = 9.5 cm * 3000 cm
x = (9.5 * 3000) cm / 1 cm
x = 28,500 cm
Therefore, the actual distance between the two points is 28,500 cm.
Good
Wow, a map drawn to a scale of 1:3000? That's like the miniature version of "Where in the World is Carmen Sandiego?" Anyway, back to your question! So, if 9.5cm on the map represents the actual distance between two points, then we need to figure out what 1cm on the map represents in real-life. You see, with a scale of 1:3000, everything on the map is 3000 times smaller. So, 9.5cm on the map would be 3000 times smaller in reality. Just whip out your handy-dandy calculator and divide 9.5 by 3000. That'll give you the actual distance between the points.
To find the actual distance between the points, we need to use the scale factor provided on the map.
The scale given is 1:3000. This means that 1 unit on the map represents 3000 units in reality.
Since the distance between the two points on the map is 9.5 cm, we need to convert this measurement to the corresponding real distance.
To do this, we can set up a proportion using the scale factor:
1 unit on the map / 3000 units in reality = 9.5 cm / x (real distance)
We can cross-multiply and solve for x:
1 * x = 3000 * 9.5
x = (3000 * 9.5) / 1
x = 28500 cm
Therefore, the actual distance between the two points is 28500 cm.