Question

a cube of 9cm edge is immersed completely into a rectangular vessel containing water. is the dimension of the base are 15cm and 12cm. find the rise in water level in the vessel.

Answer 1

Given that: Edge of cube = 9 cm

And base of the rectangular vessel = 15 cm by 12 cm.

By immersing the cube in the rectangular vessel containing water, level of water rises.

Let the level of water rises by h cm

Using the Archimedes Principle, we have

Volume of replaced water = Volume of the cube

15*12*h = 9*9*9

h = 9*9*9/15*12

h = 4.05 cm

Hence, level of water rises by 4.05 cm.


hope this helps....

Answer 2

Given that: Edge of cube = 9 cm

And base of the rectangular vessel = 15 cm by 12 cm.

By immersing the cube in the rectangular vessel containing water, level of water rises.

Let the level of water rises by h cm

Using the Archimedes Principle, we have

Volume of replaced water = Volume of the cube

15*12*h = 9*9*9

h = 9*9*9/15*12

h = 4.05 cm

Hence, level of water rises by 4.05 cm.