Question Bank • QB_SWCE_EXP_041 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Soil and Water Erosion

Subtopic: Terraces and bunds

Question Statement:

A trapezoidal contour bund has a top width of $0.50\text{ m}$, height of $1.0\text{ m}$, and side slopes of $1.5:1$ ($H:V$). The cross-sectional area of the bund in $\text{m}^2$ is ________ (answer in integer or exact decimal).

Answer Key:

2

Step-by-Step Solution & Explanation

1. Bottom width $B = \text{top width } b + 2 (z h)$: $B = 0.50 + 2 (1.5 \times 1.0) = 0.50 + 3.0 = 3.50\text{ m}$ 2. Area $A = \frac{b + B}{2} \times h$: $A = \frac{0.50 + 3.50}{2} \times 1.0 = \frac{4.0}{2} \times 1.0 = 2.0\text{ m}^2$
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