Question

A boat of length 6 meters and breadth 4 meters is floating on a lake. The boat sinks by 0.2 cm when a man gets into it. Calculate the mass of the man.

• A. 45 Kg
• B. 49 Kg
• C. 47 Kg
• D. 48 Kg

Answer 1

The Correct Option is A

Assume,

Length of the boat \((L)\) = 6 meters

Breadth of the boat \((B)\) = 4 meters

Depth of sinking \((h)\) = 0.2 cm = 0.002 meters (converted into meter)

volume of water displaced \((V)\) = \(V = L \times B \times h\)

\(V\) = 6 × 4 × 0.002

\(V\) = 0.048 m³

mass of person \((p)\)

The density of water = \(1000 \frac{kg}{m^3}\)

\(m = p \times V\)

\(m\) = 1000 × 0.048

\(m\) = 48 kg

The correct option is (D):48 Kg