A rectangular vessel has sufficient water to submerge a cube with edge 5 cm. If the length and the breadth of the base of the vessel are 10 cm and 8 cm. Find the rise in water level when the cube is submerged into it.
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Given:
Edge of cube = 5cm
Length of the vessel = 10cm
Breadth of the vessel = 8cm
To find:
The rise in water level
Solution
The volume of the cube
= 5×5×5
= 125 cm³
Now, Volume of cube = Volume of water displaced
Again, the volume of the vessel
= l×b×h [where h is the height of the water]
= 8×10×h
Since it is given that the volume of water in the vessel is sufficient to submerge the cube, we can conclude
Amount of water present = volume of the cube
=> 80h = 125
=> h = 1.56cm (approximately)
Answer
The rise in water level is = 1.56cm
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