# Expansion of block in a liquid

1. ### zorro

1. The problem statement, all variables and given/known data
A cubical block of coeffficent of linear expansion $$\alpha$$ is submerged partially inside a liquid of coefficient of volume expansion $$\gamma$$. On increasing the temperature of the system by $$\Delta$$T, the height of the cube inside the liquid remains unchanged. Find the relation between $$\gamma$$ and $$\alpha$$

3. The attempt at a solution

Initially,
Vi $$\rho$$l = Vblock$$\rho$$block

After heating, the height of the immersed part of the block remains unchanged. For this to happen, I don't understand whether the linear expansion or areal expansion of the block
should be equal to the volume expansion of the liquid.