SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-1

  • question_answer
    The ratio of volumes of two cubes is 8: 125. The ratio of their surface areas is:

    A)  4: 25               

    B)  2: 75

    C)  2: 15               

    D)  4: 15

    Correct Answer: A

    Solution :

     \[\frac{{{V}_{1}}}{{{V}_{2}}}=\frac{S_{1}^{3}}{S_{2}^{3}}=\frac{8}{125}\Rightarrow \frac{{{S}_{1}}}{{{S}_{2}}}=\frac{2}{5}\] Now,     \[\frac{{{A}_{1}}}{{{A}_{2}}}=\frac{6\times S_{1}^{2}}{6\times S_{1}^{2}}=\frac{6}{6}\times {{\left( \frac{2}{5} \right)}^{2}}=\frac{4}{25}\]\[\Rightarrow {{A}_{1}}:{{A}_{2}}=\]


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