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A uniform cube of mass M is floating on ...

A uniform cube of mass `M` is floating on the surface of a liquid with three fourth of its volume immersed in the liquid `(density =rho)`. The length of the side of the cube is equal to

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A uniform cube of mass M is floating on the surface of a liquid with three fourth of its volume immersed in the liquid (density of liquid is rho ). Now a cubical cavity is made inside the cube and the cavity is filled by a material having twice the density of the original cube. The minimum dimension (sides) of this cavity such that this cube is now completely immersed in the liquid is [(4M)/(nrho)]^(1/3) . Find the value of n

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