SOLUTION: An irrigation canal is 10 kilometers long and 2 meters deep. It is 4 meters wide at the top and 2 meters wide at the bottom. How many cubic meters of earth were excavated to make t

Question 350808: An irrigation canal is 10 kilometers long and 2 meters deep. It is 4 meters wide at the top and 2 meters wide at the bottom. How many cubic meters of earth were excavated to make the canal?
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!
The cross section area of canal is a trapezium.
Parallel sides are 2 and 4, height is 2 m.

area of this trapezium = 1/2 � (sum of parallel sides) � (distance between them)

= 1/2 * (2+4) * 2

= 6 m sq.
volume = 6 * 10000 (10 km = 10000 m)
= 60000 m cube.

so, 60000 cubic meters excavated.
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