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Railways Quantitative Aptitude Basic Calculations Sample Paper Square Roots & Cube Roots Sample Test Paper-5

  • question_answer
    A \[8\times 6\times 4\,c{{m}^{3}}\] metallic cube is melted. The minimum volume of molten metal which should be added to mould it into a cube whose edge is 'x' where 'x' is an integer, is

    A)  \[20\,\,c{{m}^{3}}\]   

    B)  \[21\,\,c{{m}^{3}}\]  

    C)  \[23\,\,c{{m}^{3}}\]   

    D)  \[24\,\,c{{m}^{3}}\]

    Correct Answer: D

    Solution :

    [d] Volume of given cube \[=8\times 6\times 4=192c{{m}^{3}}\] \[{{5}^{3}}<192<{{6}^{3}}\] 125 < 192 < 216 \[\therefore \] we add \[216-192=24\,c{{m}^{3}}\] volume


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