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    Question

    A solid cube of side 8 cm is dropped into a rectangular

    container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is:
    A 6 Correct Answer Incorrect Answer
    B 4 Correct Answer Incorrect Answer
    C 2 Correct Answer Incorrect Answer
    D 5 Correct Answer Incorrect Answer

    Solution

    The volume of cube = The volume of the rectangular container with a length of 16 cm, breadth of 8 cm, and height of the water level rise Let, the height of the water level will rise = x cm So, 83 = 16 × 8 × x ⇒ 512 = 128 × x ⇒ x = 512/128 = 4 ∴ The rise of water level (in cm) is 4 cm

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