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 the man is:

• A. 60 kg
• B. 72 kg
• C. 96 kg
• D. 108 kg

Answer 1

The correct option is A

60 kg

Volume of water displaced = (3 $\times$ 2 $\times$ 0.01) m${}^3$ = 0.06 m${}^3$.

$\therefore$ Mass of man = Volume of water displaced $\times$ Density of water = (0.06 $\times$ 1000) kg = 60 kg