Answer:
9cm
Explanation:
To find the distance between Riverside and Smithville on the map using the given scale, you can use the proportion:
Scale on Map (in centimeters) / Actual Distance (in kilometers) = Scale Factor
In this case:
Scale on Map = 3 cm
Actual Distance = 54 km
Scale Factor = 3 cm / 18 km
Now, set up the proportion and solve for the distance on the map (let's call it "x"):
3 cm / 18 km = x cm / 54 km
Now, cross-multiply and solve for x:
3 cm * 54 km = 18 km * x cm
162 km cm = 18 km x
To find x (the distance on the map), divide both sides by 18 km:
x cm = (162 km cm) / 18 km
x cm = 9 cm
So, Riverside and Smithville are 9 centimeters apart on the map.