Difficult# Estimate Volume Using Trapezoid Riemann Sum

APCALC-GWX4Y1

Deep Daryl wants to know how much water is in his lake. He knows that the average depth of his lake is **8** meters. The shape of his lake is a rugged oval and measures **80** meters in length, $L$. To estimate the area of the surface, Daryl took various width measurements in meters, $W$, to match with a given place along the **80** meter length. These measurements are as follows:

$L$ | 0 | 30 | 40 | 50 | 80 |
---|---|---|---|---|---|

$W$ | 2 | 28 | 42 | 35 | 1 |

Using a Trapezoid Riemann Sum, estimate the volume of the water to the nearest whole cubic meter.