Question

The length, breadth and thickness of a strip are:

(10.0 ± 0.1) cm, (1.00 ± 0.01) cm and (0.100 ± 0.001) cm respectively. The most probable error in its volume will be:

• A. ± 0. 111 cm³
• B. ± 0.012 cm³
• C. ± 0.03 cm³
• D. None of these

Answer 1

Answer: (C)

± 0.03 cm³

Answer 2

Volume = l × b × t

% error in volume

= [% error in l] + [% error in b] + [% error in t]

= 1% + 1% + 1% = 3%

Now % error in volume = $\frac{\Delta V}{V} \times 100$

3 = $\frac{\Delta V}{10 \times 1 \times .1} \times 100$

Hence DV = 0.03 cm³