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SSC Sample Paper SSC CGL - Sample Paper-12

  • question_answer
    A solid metallic cube of edge 4 cm is melted and recast into solid cubes of edge 1 cm. If x is the surface area of the melted cube and y is the total surface area of all the cubes recast, then what is x : y ?

    A) 2 : 1                             

    B) 1 : 2

    C) 1 : 4                 

    D) 4 : 1

    Correct Answer: C

    Solution :

    Surface area of the inner cubical box  \[=4(4.5\times 4)+4\times 4=72+16=88\,c{{m}^{2}}\] \[\therefore \] Total surface area             \[=125+88+(18\times 0.5)=222\,c{{m}^{2}}\] Volume of solid cube \[={{(4)}^{3}}=64\,c{{m}^{3}}\] Volume of recast cube \[={{(1)}^{3}}=1\,c{{m}^{3}}\] \[\therefore \] Total surface area of cube : total surface area of recast cube = x : y      \[\Rightarrow \]   \[x:y=6{{(4)}^{2}}:6{{(1)}^{2}}\times 64=1:4\]         


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