Fraction of a 100kg Cube's Volume Floating in Fluid | Uniform Density

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To determine the fraction of a 100kg plastic cube's volume floating above the surface in a fluid with a specific gravity of 1.2, Archimedes' principle is applied. The cube's density must be compared to the fluid's density, which is derived from its specific gravity. The calculations involve finding the ratio of the cube's density to the fluid's density to ascertain how much of the cube is submerged. The discussion emphasizes the importance of correctly calculating the specific gravity of the cube to solve the problem accurately. Understanding these principles is crucial for determining the floating fraction of the cube's volume.
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A solid plastic cube with uniform density (side length = 0.5m) of mass 100kg is placed in a vat of fluid whose specific gravity is 1.2. What fraction of the cube's volume floats above the surface of the fluid?


I couldn't figure this one out. I tried using the ration of SG's.
 
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Per Archimedes principle, an object immersed in a fluid is buoyed up by a force equal to the weight of the fluid displaced by the object. You can do the problem by ratios of the SG's, which gives the fraction of the cube's volume floating below the surface. Did you calculate the SG of the cube correctly?
 
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