A solid cube gets completely immersed in water when a 0.2 kg mass is placed on it. If the mass is removed, the cube is 2 cm above the water level. What is the length of each side of the cube?
✓ Correct answer: b) 10 cm
ExplanationGiven:Mass added to fully submerge the cube: m= 0.2 kgThe Cube floats 2 cm above water when mass is removed.Density of water: ρ = 1000 kg/m3 Using Archimedes’ principle:1. When fully submerged: ρ.l3 = m(cube) + m(added)2. When floating 2 cm above water: Submerged volume: V(submerged) = l2.(l - 0.02) Mass of the cube: m(cube) = ρ.V(submerged) Equating: l3 = l2.(l-0.02)+0.2/1000 Testing options: For l = 10 cm, the equation holds true.227. The mass of a body on earth is 100 kg (acceleration due to gravity, ge = 10 m/s2
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