Question: To build a highway, it is necessary to cut through a hill. A surveyor measured the cross-sectional areas at 250-ft intervals through the cut as

To build a highway, it is necessary to cut through a hill. A surveyor measured the cross-sectional areas at 250-ft intervals through the cut as shown in the following table. Using the trapezoidal rule, determine the volume of soil to be removed.

Dist. (ft) Area (ft) 0 560 250 500 750 1000 1250 1500

Dist. (ft) Area (ft) 0 560 250 500 750 1000 1250 1500 1750 1780 4650 6730 5600 6280 2260 230

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