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) m3 |
| = 0.06 m3. |
 Mass of man |
= Volume of water displaced x Density of water |
| = (0.06 x 1000) kg | |
| = 60 kg. |
Discussion:
33 comments Page 3 of 4.
Ashish said:
1 decade 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.
Moses said:
1 decade ago
Guys, remember from the question, the man sat on the boat and the boat was floating meaning that his weight is equal to the weight of the fluid displaced (Archimedes principle).
But Density = Mass/Volume. Make mass the subject you get.
Mass of water displaced = Volume of water displaced x Density of water.
So from the above explanation, Mass of the man = Mass of water displaced.
Hence Mass of man = Volume of water displaced x Density of water.
But Density = Mass/Volume. Make mass the subject you get.
Mass of water displaced = Volume of water displaced x Density of water.
So from the above explanation, Mass of the man = Mass of water displaced.
Hence Mass of man = Volume of water displaced x Density of water.
Aashritha said:
1 decade ago
What is the formula used in calculating the volume of water displaced l*b*h, If so?
Raju subba said:
1 decade ago
How is the density of water calculated?
Sabha said:
1 decade ago
Density of water always 1000kg/m3.
SVK said:
1 decade ago
@Hannan.
Density of H2O IS 1000kg/m3.
Google density of water and it gives you 1000kg/m3.
Density of H2O IS 1000kg/m3.
Google density of water and it gives you 1000kg/m3.
Hannan said:
1 decade ago
How density of water is measured? Can anybody help me please.
Mrinal said:
1 decade ago
The height is given 1cm when it sinks, so H is 0.01m.
Ramanathan said:
1 decade ago
When an object is immersed in water the volume of water displaced by the object is not equal to the mass of object. It is equal to the volume of object. In this case the volume of man is 0.06 cubic meters. We should know the density of man to calculate the mass of man, not density of water.
Gurpreet said:
1 decade ago
Why did we take volume of water displaced here?
How density of water calculated?
How density of water calculated?
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers