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A depressed portion of a land is identified by three closed contours, as shown in the figure below. The area bound by three contour lines is 6 m2, 24 m2 and 96 m2 respectively.
The contour interval is 1 m. Using prismoidal method, the volume of the earth needed to fill land depression is ________m3 .
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- 66 cubic meter
- 99 cubic meter
- 33 cubic meter
- 9.9 cubic meter
Correct Option: B
The volume of a prismoid is :
| V = - | (A1 + 4Am + A2) | |
| 6 |
Where: V = Volume (cubic feet) Am = Middle Area or Area of a plane surface midway between A1 and A2, A1 and A2 are the areas of the end sections. L is distance between top and bottom cross-section.
| V = |  |  | × {[96 + (4 × 24) + 6]} = | = 99 cu m | ||
| 6 | 2 |
