Write the law of floatation

A rectangular block is $10 \,cm \times 10 \,cm \times 15 \,cm$ in size is floating in water with $10 \,cm$ side vertical. If it floats with $15 \,cm$ side vertical, then the level of water will ..........

A cubical block is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of $g/3,$  the fraction of volume immersed in the liquid will be

A cylindrical block of area of cross-section $A$ and of material of density $\rho$ is placed in a liquid of density one-third of density of block. The block compresses a spring and compression in the spring is one-third of the length of the block. If acceleration due to gravity is $g$, the spring constant of the spring is:

Two solids $A$  and $ B$ float in water. It is observed that $A$  floats with half its volume immersed and $B$  floats with $2/3$  of its volume immersed. Compare the densities of $A$ and $B$

Write the only equation for the volume of partially immerged part of body float on the surface of liquid.