Approximating Area And Volume

  1. I am given a table of values to calculate the volume of water in a lake.

    X(m) 0 50 100 150 200 250 300
    Y(m) 10.2 39.1 56.9 43.2 28.5 17.7 9.8

    Where X is intervals across the lake
    Where Y is depth of the lake in meters

    The aim is to work out the volume using a range of different methods, including;

    Upper and lower rectangles
    Trapezium Method
    Simpson's Method

    I understand how to calculate the area under the curve, however i am not sure how to use the values calculated for area to determine the volume of the lake

  2. jcsd
  3. ideasrule

    ideasrule 2,323
    Homework Helper

    I'm not sure either. Are you given any information about the z direction? You can't calculate volume if you only have information about 2 of the 3 dimensions.
  4. no z direction, nothing, that is what has me confused
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