10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    If the surface area of a cube is 384 sq m, then its volume is

    A) \[\text{51}0\text{ }{{\text{m}}^{\text{3}}}\]                      

    B)  \[\text{511 }{{\text{m}}^{\text{3}}}\]

    C) \[\text{512 }{{\text{m}}^{\text{3}}}\]               

    D)        \[\text{513 }{{\text{m}}^{\text{3}}}\]

    Correct Answer: C

    Solution :

     If I be the side of a cube, then \[6\,\,{{l}^{2}}=384\]                 or            \[{{l}^{2}}=\frac{384}{6}=64\]                 or            \[l=8\,m\] Hence, volume of cube \[={{8}^{3}}=512\text{ }{{m}^{3}}\]


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