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A cube of wood supporting a mass of 200 g justfloats in water. When the mass is removed, thecube rises by 2 cm. What is the size of the cube?(a) 6 cm (b) 8 cm (c) 10 cm (d) 12 cm |
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Answer» Let the edge of cube be ℓ. When mass is on the cube of wood 200 g + ℓ3d wood g = ℓ3dwaterg ⇒ ℓ3dwood= ℓ3dwater– 200 … (i) When the mass is removed ℓ3dwood= (ℓ - 2 ) ℓ2dwater… (ii) From (i) and (ii) ℓ3dwater- 200 = (ℓ- 2) ℓ2dwater But dwater= 1 ∴ ℓ3- 200 = ℓ2(ℓ - 2) ⇒ ℓ = 10 cm |
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