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10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    If the numerical value of the surface area of a cube is equal to the numerical value of the volume of the cube, then the numerical value of area of each face of the cube is

    A)  1                            

    B)         6

    C)  12                         

    D)         36  

    Correct Answer: D

    Solution :

     Let side of the cube is a. Then its surface area \[=6{{a}^{2}}\] and its volume \[={{a}^{3}}\] \[\therefore \]  \[{{a}^{3}}=6{{a}^{2}}\] or            \[a=6\] Hence, numerical value of area of each face                 \[={{a}^{2}}=36\]


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