A wooden cube of side and density is gently released on still water of density

PHYSICS · Multi-part · CBSE · Physics · Gravitation · Gravitation

Problem

A wooden cube of side 0.15 m0.15\,\text{m} and density 600 kg m−3600\,\text{kg}\,\text{m}^{-3} is gently released on still water of density 1000 kg m−31000\,\text{kg}\,\text{m}^{-3}. Answer the following. (i) Calculate the volume of the cube. (ii) Determine the fraction of the cube’s volume that remains submerged in water at equilibrium. (iii) Hence find the height of the cube projecting above the water surface.

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