Thursday, July 30, 2009

I have a Geology question I don't understand. Please Help.?

Suppose you are given three maps, A, B, and C (each 17.5 inches long by 13.5 inches wide). Map A has a scale of 1:62,500; map B a scale of 1:125,000: and a map C a scale of 1:250,000.





Which map represents the greatest area?





Which map represents the smallest ares?








How much area is shown on B compared to that shown on A?





Which map shows the greatest enlargement?





Detail?





I need to understand this!!!!!!!!!!!!!!!!!

I have a Geology question I don't understand. Please Help.?
Map C


Map A


Map B area = 29531250


Map A area = 14765625


Map C
Reply:The scale means this. 1:62,500 means that one inch on the map equals 62,500 inches in real life. You're being asked which map shows the most area in real life.





So convert map inches to real inches for length and width, and figure out the area of the map in real square inches. It's going to be big, you'll need a calculator.
Reply:Maps are representations of areas of the earth. The scale in which a map is drawn determines the size of the area represented on a map.





Suppose that you wanted to make a map of the furniture in your bedroom in the scale of 1:1. If your bedroom is 12 feet by 12 feet, a map that is in a 1:1 scale would also be 12 feet by 12 feet. That's usually not practical or necessary. So lets make the map in a 1:12 scale. Now the paper needed by the map is 1/12th the size of what it represents. You now have a map that is 1 foot by 1 foot (12 inches by 12 inches) and each inch on the map represents 1 foot (12 inches = 12 feet) in your bedroom. A two inch long diagram of your nightstand represents a piece of furniture that is two feet long.





Maps that show roads, states and countries obviously couldn't be made in a 1:1 ratio, nor would they need to be. (Imagine folding a road map the size of your city!). So....maps that represent large areas of land are made in ratios that make the map usable for its intended purpose.


A map with a scale of 1:62,500 means that every inch on the map is equal to 62,500 inches of real estate. That is just about 1 mile per inch or .625 kilometers per centimeter.





The higher the scale, the more territory that is covered by the map. Your bedroom map scale of 1:12 would be too small for a map of your house, which might do better at 1:36 or 1:48. You'd still have a map that was about 12 inches by 12 inches (30cmX30cm), but now, at the higher scale, the map would cover your entire house, not just your bedroom.


Moving up more, a 1:1000 map could show your neighborhood. A 1:5000 map could show your town or part of a large city. A 1:20000 map would cover a city that is 4 miles square on a map that would still fit into your hands.





Okay, now lets go to your three maps. Which map represents the greatest area? The one with the greatest scale (since all the maps are the same size). So map C gets that prize (1:250000).





The smallest area goes to the map with the smallest scale and that is map A (1:62500)





Map B has a scale that is twice that of Map A (125,000/62,500 = 2), so distances on B are twice those shown on A. B shows twice the length and twice the width that A does, so B covers 4 times as much area as does map A.





The greatest ENLARGEMENT is the map with the SMALLEST scale. Again, that is A (1:62500)





A DETAILED map of a city could show every fence around every yard, every garage, every house, every empty lot. Detailed maps are usually closeups of what they represent, so I'd go with Map A on that again. Usually, the larger the map scale, the less detail that can be shown. Maps of the entire world can't show your next door neighbor's house. There just isn't enough room to show more than country outlines and capital cities.





Hope this helps a little. Good Luck!
Reply:1:62,500 means that every inch on your covers 62,500 inches on the real ground. A larger second number means the map is covering more area, and a smaller second number means the map is more zoomed in.





Map c represents the greatest area because every inch on that map is 250,000 inches in real life.





Map a covers the smallest area because it only covers 62,500 real inches for every inch on the map.





There is 4 times more area shown on b compared to a because if you double the length of both sides of the map when you multiply to get the area you will twice as much in one direction times twice as much in the other direction=4 times as much area





The most zoomed in map shows the greatest enlargement which is 1:62500
Reply:Try logic.


Anyone can just figure it out and tell you the answer, but you need to be able to figure it out for yourself.





You have to know what the map scale is, whether it's in inches or centimetres, and what distance EACH inch or cm. represents.





A 1:1 ratio could represent ONE measuring unit on the map for each unit actually ON the ground. For instance, ONE inch on the paper can represent one foot, one yard, or a mile.





A scale of 1: 250,000 could result in one inch on the paper map representing 250,000 times the 'inch' or whatever unit, depending on the scale.


In that example, one inch would represent 250,000 inches divided by 12 = 20,833.3 FEET divided by 5,280 =3.94 miles, therefore ONE inch on the paper would be 3.94 miles.





Understand?





The higher the ratio number, the greater the territory represented. For instance, 1:20,000 would represent a smaller area, BUT in greater detail on the map than 1:250,000





simple, huh? Now you can calculate any other amount using those figures.
Reply:"C" shows the greatest area because, each inch or foot or whatever unit you want to use on the map, represents 250,000 of those units. In other words, if you mark a straight line one inch long on the map, that line will represent 250,000 inches.


"A" represents the smallest are for the same reason as above.


"B" will show 1/4 the area of "A" , because it is half the scale, you lose half the distance up and down and half the distance left and right(pay attention to the square).


None of the maps show enlargement...they are all scaled down, but "A" will show the greatest detail ie the least negative enlargement.


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