Question

4.) You have made a model tree for you 1:64 scale railroad that is 20cm tall. How tall in real life would this tree be? (1 meter=100 centimeters)
5.) A model battle ship you have just made is 2 feet long. The real thing is 350 feet long. What is the scale ratio between model and real life?

6.) A map has a scale of 1 inch equaling 20 miles.
a) On the map, how far would 5 inches be?
b) Chicago is 200 miles from Appleton. What is the distance on the map?
c) If this same map where large enough to include the whole world (25,000 miles at equator), how long would the map have to be? (12in=1ft).

7) A map has a scale of 1 inch equaling 2.5 miles.
a) On the map, how far would 5 inches be?
b) The Wiouwash Bike trail West of Appleton is 41 miles long. How far on the map is that?
c) is this a reasonable map to show the route between Appleton and Chicago? Why or why not?

Answer 1

5. 1:175, if 2ft= 350 ft in life 1ft feet would probably be 175. (Cross multiplication)
6.a)100miles, 1 inch= 20mile so 5 inches multiplied by 20 miles gives you 100miles
b) 10 inches from Appleton. 1inch:20miles  (cross multiply to get 10inches)
                                                 x   :200miles
c)25000 miles will reach the equator so 50000 miles will go around the world! So, if 1inch:20miles,(50000/20=2500inches) And if 12inches:1ft, 2500inches * 1ft/12 inches to get 208.33.
7.a) 1inch:2.5miles(5inches*2.5miles/1) 5inches would be 12.5miles.
b)1inch:2.5miles, 41miles?. (1inch*41miles/2.5miles=x) x=16.4, so 41miles=16.4inches
c)No. Because they have different scales.