Question
A cube of 9cm edge is immersed completely in a rectangular vessel containing water. If the dimensions of the base are 15cm and 12cm, find the rise in water level in the vessel.

Answer

Volume of the cube = S3 = 93 = 729cm3
Area of the base = l × b = 15 × 12 = 180cm2
Rise in water level $=\frac{\text{Volume of the cube }}{\text{Area of base of rectangular vessel}}$
$=\frac{729}{180}$
$= 4.05\text{cm}.$

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