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(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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