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Volume for a contour map

  1. Apr 28, 2009 #1
    if you are given a contour map how could you calculate the volume of the hill.
     
  2. jcsd
  3. Apr 28, 2009 #2

    mgb_phys

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    Roughly you would work out the area of each contour line and multiply by the distance between lines.
    There is an interesting law for the area of any polygon if you are given the contours as line segments.
     
  4. Apr 28, 2009 #3
    they'r ellipses but id still like to hear it
     
  5. Apr 28, 2009 #4

    mgb_phys

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    If you have the x,y coordinates of each vertex of a polygon then
    Area = (x0y1 + x1y2 + ... + xn-1y0 - y0x1 - y1x2 - ... - yn-1x0) / 2

    It doesn't matter what shape it is (doesn't have to be convex) as long as the sides don't
    cross each other.
     
  6. Apr 28, 2009 #5
    what exactly do u mean by x0 and x1 and y0 and etc
     
  7. Apr 28, 2009 #6

    mgb_phys

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    The coordinates of each vertex of the polygon, ie x0,y0 is the first corner, x1,y1 is the second etc..
    The nice thing is that you don't have to calculate any lengths or angles.
     
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