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

Answer: (A)

45 Kg

Answer 2

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