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Floating block: how much of it is submerged

This type of question, asked 4 times: 8 Apr 2024, 28 Jan 2025, 24 Jan 2026 S2, 2 Apr 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    8 Apr 2024

    97
    A cube of ice floats partly in water and partly in kerosene oil. The ratio of volume of ice immersed in water to that in kerosene oil (specific gravity of Kerosene oil =0.8= 0.8, specific gravity of ice =0.9= 0.9 )

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  2. Question 2

    28 Jan 2025

    93
    a 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water? (Given : density of water =1000 kg m−3= 1000\text{ }kg{\text{ }m}^{- 3} )

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  3. Question 3

    24 Jan 2026 S2

    12
    A cubical block of density ρb=600 kg/m3\rho_{b}= 600\text{ }kg/m^{3} floats in a liquid of density ρe=900 kg/m3\rho_{e}= 900\text{ }kg/m^{3}. If the height of block is H=8.0 cmH = 8.0\text{ }cm then height of the submerged part is ____\_\_\_\_ cm.

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  4. Question 4

    2 Apr 2026 S1

    25
    A tube is filled with water and a wooden cube 10 cm×10 cm×10 cm10\text{ }cm \times 10\text{ }cm \times 10\text{ }cm is placed in the water. The wooden cube is found to float on the water with a part of it submerged in water. When a metal coin is placed on the wooden cube, the submerged part is increased by 3.87 cm . The mass of the metal coin is ____\_\_\_\_ gram. (Take water density as 1 g/cm31\text{ }g/{cm}^{3} and density of wood as 0.4 g/cm30.4\text{ }g/{cm}^{3} )