10th Class Mathematics Surface Areas and Volumes Question Bank Surface Area and Volume

  • question_answer
    The volume of a cube is numerically equal to its surface area. What is the length of its side?                                 

    A)  6 units                                 

    B)  8 units

    C)  9 units                 

    D)         10 units

    Correct Answer: A

    Solution :

     Volume of a cube \[=l{{\,}^{3}}cu.\] units Surface area of a cube\[=6\,{{l}^{2}}sq.\]units, where\['l'\] is the length of each side of a cube. Given that the volume of a cube is numerically equal to its surface area \[\Rightarrow \] \[{{l}^{3}}cu.units=6\,{{l}^{2}}\,sq.\,units\] \[\Rightarrow \]\[\frac{{{l}^{3}}}{{{l}^{2}}}=6\]   \[\Rightarrow \]\[l=6\,units\] \[\therefore \]The length of each side of the cube = 6 units.


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