A Hot Floating Cube

A metallic cube is floating inside a beaker. The temperature of system is increased by small temperature ΔT. It was found that the depth of submerged portion of cube does not change. Then the ratio of coefficient of linear expansion of the cube and coefficient of volume expansion of liquid is given by \(\frac{a}{b}\). Where \(a\) and \(b\) are co-prime to each other then \(a+b\) is equal to?

Notes:

  1. Ignore the expansion of the beaker.
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