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:
12 kg
60 kg
72 kg
96 kg
Answer: Option
Explanation:

Volume of water displaced = (3 x 2 x 0.01) m3
= 0.06 m3.

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.

Priya said:   7 years ago
By using the concept of buoyancy I couldn't understand.

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.

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.


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