Roger N. answered • 05/14/20

. BE in Civil Engineering . Senior Structural/Civil Engineer

Solution:

When the cube is placed in the water, the buoyant force is the volume of the cube displaced by water.

The volume of the cube is V = [48 cm ( m / 100cm)]^{3} = 0.1106 m^{3}

The buoyant force = (Density of water * Volume of cube) ( g )

= [1000 kg/m^{3} ( 0.1106 m^{3})] 9.81 m/s^{2} = 1084.98 kg-m/s^{2} = 1085 N

For the cube to float, the buoyant force has to equal the weight of the cube

Weight of cube = buoyant force = 1085 N