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| PAGE: 585 | SET: Select | PROBLEM: 15 |
(a)
The density of water is 
.
Acceleration due to gravity 
The side of the cube 
.
Depth of the cube at the top is 
.
The area of the cube is 
.
Hydrostatic force : 
.
Substitute corresponding values in the above.
.
The top of the cube is 
.
(b)
The water level is 
deep.
Here 
.
Differentiate with respect to 
.
.
The depth of the rectangle is 
.
Average depth of a vertical side 
.
Substitute corresponding values in the above.
Apply integration to the above equation.
Substitute 
in the above equation.
One of the sides of the cube 
.
(a) The top of the cube is .
(b) One of the sides of the cube 
.
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