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SSC Quantitative Aptitude Mensuration Question Bank Mensuration-II (I)

  • question_answer
    Three cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find half of the     surface area of the new cube.

    A) 243 sq cm

    B) 463 sq cm

    C)     486 sq cm

    D) 293 sq cm  

    Correct Answer: A

    Solution :

    [a] Volume (new cube) \[=({{1}^{3}}+{{6}^{3}}+{{8}^{3}})=729\,c{{m}^{3}}\] \[{{a}^{3}}=729;a=9\,cm\] \[\therefore \]Surface area of the new cube \[=6{{a}^{2}}=486\,sq\,cm\] \[\frac{\text{surface}\,\text{area}}{2}=\frac{486}{2}=243\,sq\,cm\]


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