2. Questions Bank
  3. 6th Class
  4. Mathematics
  5. Mensuration

6th Class Mathematics Mensuration Question Bank Menstruation

  • question_answer
    Two cubes have volume in the ratio 1 : 27. The ratio of the area of the face of one cube to that of the other is

    A)  1 : 3               

    B)    1 : 9

    C)  1 : 6               

    D)    1 :8

    Correct Answer: B

    Solution :

         \[\frac{{{V}_{1}}}{{{V}_{2}}}=\frac{1}{27}\,\Rightarrow \,{{\left( \frac{{{x}_{1}}}{{{x}_{2}}} \right)}^{3}}\,=\frac{1}{27}\] \[\Rightarrow \,\,\frac{{{x}_{1}}}{{{x}_{2}}}=\frac{1}{3}\] Required ratio \[=\frac{{{x}_{1}}^{2}}{{{x}_{2}}^{2}}\,={{\left( \frac{1}{3} \right)}^{2}}=1:9\]


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