Question Bank • QB_SWCE_WS_004 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Watershed Management

Subtopic: Check dams and farm ponds

Question Statement:

An excavated dugout farm pond has a rectangular top water surface area $A_1 = 600\text{ m}^2$, a flat bottom area $A_2 = 200\text{ m}^2$, and a vertical water depth $D = 3.0\text{ m}$. The mid-depth cross-sectional area is $A_m = 375\text{ m}^2$. Using the prismoidal formula $V = \frac{D}{6} (A_1 + A_2 + 4 A_m)$, the water storage capacity $V$ in $\text{m}^3$ is ________ (answer in integer).

Answer Key:

1150

Step-by-Step Solution & Explanation

Using the prismoidal volume formula: $V = \frac{D}{6} (A_1 + A_2 + 4 A_m)$ Given: • $D = 3.0\text{ m} \implies \frac{D}{6} = 0.5$ • $A_1 = 600\text{ m}^2$ • $A_2 = 200\text{ m}^2$ • $A_m = 375\text{ m}^2 \implies 4 A_m = 1500\text{ m}^2$ $V = 0.5 \times (600 + 200 + 1500) = 0.5 \times 2300 = 1150\text{ m}^3$
← Previous (QB_SUB_SWCE_0459) Next (QB_SWCE_WS_006) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test