A cube (1m x 1m x 1m; volume = 1 m3; density = ρ kg/m3) is floating as shown. The density of oil is 800 kg/m3 and the density of water is 1000 kg/m3. Assume that the magnitude of the acceleration due to gravity, g, is 9.8 m/s2 and that Patm = 1.013x105 N/m2. a) Using the figure on the left, calculate the density of the cube, ρ. b) Use the figure on the right. The top face of a cube (same dimensions – 1m x1m x 1m) is now 0.5 m below the oil-air interface. If the values of ho and hw are the same as in part a, what is the density of this cube. Show all steps in your calculations.

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Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.