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SSC Sample Paper Mock Test-7 SSC CGL Tear-II Paper-1

  • question_answer
    A cube of 9 cm edge is immersed completely in a rectangular vessel containing water. If the dimensions of base are 15 cm and 12 cm. Then, the rise in water level in the vessel is

    A)  4.05 cm

    B)  4 cm   

    C)  3.5 cm

    D)  3 cm

    Correct Answer: A

    Solution :

    Edge of cube = 9 cm For rectangular vessel Length = 15 cm. Breadth = 12 cm Let the rise in the water level is x cm Volume of cube \[={{9}^{3}}=9\times 9\times 9\] Volume of vessel \[=15\times 12\times x\] \[\Rightarrow \]   \[15\times 12\times x=9\times 9\times 9\] \[x=\frac{9\times 9\times 9}{15\times 12}=\frac{81}{20}=4.05\,\,\text{cm}\]


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