Question

A boat having a length $3$m and breadth $2$m is floating on a lake. The boat sinks by $1$cm when a man gets on it. The mass of man is :-

• A. 12 kg
• B. 60 kg
• C. 72 kg
• D. 96 kg

Answer 1

The correct option is B 60 kg

Boat length $=3m$

Breadth $=2m$

Boat sink depth $=1cm={10}^{-2}m$

mass of man $=$ volume of water display $\times$ density of water

$=(3\times 2\times {10}^{-2})m^3\times \left({10}^3\right)kg/m^3$

mass of man $=3\times 2\times 10kg$

$\Rightarrow$ mass of man $=60kg$