5th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The shaded area of the two faces of a cube is\[72\,\,{{m}^{2}}\]. What is the volume of the cube?

    A) \[216\,\,{{m}^{3}}\]                

    B)                    \[625\,\,{{m}^{3}}\]                

    C)                    \[64\,{{m}^{3}}\]                   

    D)           \[265\,\,{{m}^{3}}\]                

    Correct Answer: A

    Solution :

    The shaded area of two faces of the cube \[=72\,\,{{m}^{2}}\] \[\therefore \]The shaded area of one face             \[=\frac{72}{2}{{m}^{2}}=36\,\,{{m}^{2}}\] \[\Rightarrow \]side or edge of the cube\[=6\,\,m\] Hence, its volume \[=6\times 6\times 6\,\,cu\,\,m\] \[=216\,\,cu\,\,m\]


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