A hollow cube of side 10cm each weighing 200gm, is made This clube is placed in water with horizontal face How many cm of its height sinks in water if density of water is 1gm/cm^3
Answers
Given : A hollow cube of side 10cm each weighing 200gm, is made
This cube is placed in water with horizontal face
To Find : How many cm of its height sinks in water if density of water is 1gm/cm^3
Solution:
Weight of cube = Weight of Water displaced
Weight of cube = 200 g
Let sat cube sinks for d cm
Surface area of face = 10 * 10 = 100 cm²
=> Volume of water displaced = 100 * d cm³
density of water is 1gm/cm³
Density = weight / Volume
=> Weight of water displaced = 100d * 1 = 100d g
Equate both weights
=> 100d = 200
=> d = 2 cm
Hence 2cm of cube height sinks in water
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