Question

A rectangular block is heated from $0^{o}C$ to ${100}^{o}C$.
The percentage increase in its length is $0.2$.The percentage increase in its volume is:

• A. $0.6\%$
• B. $0.10\%$
• C. $0.2\%$
• D. $0.4\%$

Answer 1

The correct option is A $0.6\%$

The volume of the block is given by

$V=L^3$

The percentage change in the volume is represented as:

$\therefore \frac{\Delta V}{V}\times 100=3\frac{\Delta L}{L}\times 100$

$\Rightarrow 3\times 0.2\%=0.6\%$ $(\because \frac{\Delta L}{L}=0.2)$