An ice block of (60*40*30)cm is floating on water. What portion of ice should be outside the water if the density of ice be 0.75 gm/cubic cm.

A block of
ice with dimensions (60*40*30) cm^3 is floating on water. When a body floats on a fluid a force
is exerted on it that is equal to the weight of the liquid displaced by the body. In the given
problem the density of ice is equal to 0.75 gm/cm^3. The density of water is 1 gm/cm^3. If a
fraction x of the block is submerged in the water when it floats, the force exerted by the
weight of water displaced i.e. x*60*40*30*1 = 60*40*30*0.75

=> x =
0.75

75% of the block has to be submerged in the water before the buoyant
forces equal the weight of the block.

25% of the block remains
out of the water.