Question

The length, breadth and thickness of a strip are (10.0 $\pm$ 0.1)cm, (1.00 $\pm$ 0.01)cm and

(0.100 $\pm$ 0.001)cm respectively. The most probable error in its volume will be ?

• A. $\pm 0.03{cm}^3$
• B. $\pm 0.111{cm}^3$
• C. $\pm 0.012{cm}^3$
• D. None of these

Answer 1

The correct option is A $\pm 0.03{cm}^3$

Since $V=lbw$

$\Delta V/V=\Delta l/l+\Delta b/b+\Delta w/w=0.01+0.01+0.01=0.03c{m}^3$