Question Bank • QB_SWCE_SUR_001 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Surveying and Levelling

Subtopic: Measurement of distance and area

Question Statement:

A farm boundary line was chained using a nominal $20\text{ m}$ metric chain and recorded as $360.0\text{ m}$. After completing the survey, the chain was standardized and found to be $5\text{ cm}$ too long ($L' = 20.05\text{ m}$). The true length of the surveyed boundary line in metres is ________ (round off to 1 decimal place).

Answer Key:

360.9

Step-by-Step Solution & Explanation

The relation between true and measured length is: $\text{True Length} = \text{Measured Length} \times \left( \frac{L'}{L} \right)$ Given: • Measured length $= 360.0\text{ m}$ • Nominal chain length $L = 20.00\text{ m}$ • Actual chain length $L' = 20.05\text{ m}$ $\text{True Length} = 360.0 \times \left( \frac{20.05}{20.00} \right) = 360.0 \times 1.0025 = 360.9\text{ m}$
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