A geometry problem by Manmeswar Patnaik

Geometry Level pending

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:

72 24 12 60

Manmeswar Patnaik by Manmeswar Patnaik , 22, India

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1 solution

Manmeswar Patnaik
Feb 16, 2016

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.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

I did this as well. :)

Soumava Pal - 5 years, 3 months ago

In case you are wondering, this is an application of the Archimedes principle. The weight of the volume of the fluid displaced equals the lift the fluids pushes with

Juan Eduardo Ynsil Alfaro - 3 years, 2 months ago

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