Question

A parallelopiped has length 'a', breadth '2a' and height '3a'. Length a is measured and measured value is (2 ± 0.02) cm. The maximum percentage error in the measurement of its value is –

• A. 6%
• B. 3%
• C. 1%
• D. 2%

Answer 1

Answer: (B)

3%

Answer 2

Volume = length × breadth × height

= (1) × (2a) × (3a)

V = 6a³

$\frac{\Delta V}{V}$ × 100 = 3 $\frac{\Delta a}{a}$ × 100