Question

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

Answer 1

In this type of question, first we will calculate the volume of water displaces then will multiply with the density of water.
Volume of water displaced = 3*2*0.01 = 0.06 m cube

Mass of Man = Volume of water displaced * Density of water

= 0.06 * 1000 = 60 kg

Answer 2

✬ 60 kg ✬

Step-by-step explanation:

Given:

• Length of boat is 3 m.
• Breadth of boat is 2 m.
• The boat sinks by 1 cm when man gets on it.

To Find:

• What is mass of man?

Solution: Volume of water displaced ,

$v = 3 \: m \times 2 \: m \times \frac{1}{100} \: m \\ = > \frac{6}{100} {m}^{3}$

Also, mass of person equals the mass of water displaced by the man

∴ Mass of water displaced =

$\frac{6}{100} \times 1000 \\ \\ = > 60 \: kg$