GATE AG 2020 • Q57 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Surveying and Levelling

Subtopic: Computation of areas and volume

Question Statement:

Area enclosed by contours of a pond: Contour (m) 100–106 with Area (m²): 440, 580, 640, 740, 960, 1100, 1240. Using the trapezoidal formula, find the total estimated capacity of the pond (m³).

Official Answer Key:

4860 to 4860

Step-by-Step Solution & Explanation

Trapezoidal formula: V = Δh×Σ[(Ai+Ai+1)/2], Δh=1 m. Sum of consecutive-pair averages = 510+610+690+850+1030+1170 = 4860 m³.

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