# Aptitude - Volume and Surface Area - Discussion

Discussion Forum : Volume and Surface Area - General Questions (Q.No. 6)

6.

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:

Answer: Option

Explanation:

Volume of water displaced | = (3 x 2 x 0.01) m^{3} |

= 0.06 m^{3}. |

Mass of man | = Volume of water displaced x Density of water |

= (0.06 x 1000) kg | |

= 60 kg. |

Discussion:

32 comments Page 2 of 4.
Harsha said:
6 years ago

@skd.

1cm = 0.01m.

1cm = 0.01m.

Priya said:
7 years ago

By using the concept of buoyancy I couldn't understand.

Please help me, @Mihir Jha.

Please help me, @Mihir Jha.

Skd said:
7 years ago

Please define 0.01 where it comes from?

Kapil said:
8 years ago

Why not the mass is 72kg?

Mihir jha said:
8 years ago

Hi friends, we can do this sum by applying the concept of buoyancy.

Increase in weight =Inc in buoyant force.

Therefore,Mg = vdg,

M = vd,

M = (2 * 3 * 0.01)m * 1000,

(Vol. Of water displaced * density of water).

Thus mass of the man is 60 kg.

Increase in weight =Inc in buoyant force.

Therefore,Mg = vdg,

M = vd,

M = (2 * 3 * 0.01)m * 1000,

(Vol. Of water displaced * density of water).

Thus mass of the man is 60 kg.

Latha said:
8 years ago

It is solved by using Archimedes principle.

Varun said:
8 years ago

How volume of water is taken as l*b*h?

Aliza mir said:
8 years ago

@Suhaas, via the Archimedes principle.

Suhaas said:
8 years ago

How volume of water displaced is equal to the mass of a man?

Ashish said:
9 years ago

Simple density is mass per unit vol.

Density of water is 1000 kg/m^3 is always CONSTANT.

Volume is calculated from given parameters l*b*h.

Therefore density = (mass/volume).

Mass = (density*volume).

Mass = (1000/(l*b*h)).

Ans = 1000*0.06.

Density of water is 1000 kg/m^3 is always CONSTANT.

Volume is calculated from given parameters l*b*h.

Therefore density = (mass/volume).

Mass = (density*volume).

Mass = (1000/(l*b*h)).

Ans = 1000*0.06.

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