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 Thanks
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.