A cube of 11 cm edge is immersed completely in a rectangular vessel containing water. If the
dimensions of the base of the vessel are 15 cm × 12 cm, find the rise in the water level in centimeters correct
to 2 decimal places, assuming that no water overflows.
It is given that
Edge of cube = 11 cm
We know that
The dimensions of the base of the vessel are 15 cm × 12 cm
Consider the rise in the water level = h cm
So the volume of cube = volume of the vessel
Substituting the values
1331 = 15 × 12 × h
By further calculation
h = 1331/ (15 × 12)
So we get
h = 1331/ 180 = 7.39 cm
Therefore, the rise in the water level is 7.39 cm.
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