Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-35

  • question_answer
    A 4 cm cube is cut into 1 cm cubes. What is the percentage increase in the surface area after such cutting?

    A)  4                    

    B)  0

    C)  150                 

    D)  300

    Correct Answer: D

    Solution :

    Volume of 4 cm cube \[=64\,\,c{{m}^{3}}\] When it is cut into 1 cm cube, the volume of each of the cubes \[=1\,\,c{{m}^{3}}\] Hence, there will be 64 such cubes. Surface area of small cubes \[=6\times {{(1)}^{2}}=6\,\,sq\,\,cm\] Therefore, the surface area of 64 such cubes \[=64\times 6=384\,\,sq\,\,cm\] The surface area of the large cube \[=6\times {{(4)}^{2}}=6\times 16=96\,\,sq\,\,cm\] \[\therefore \]Percentage increase \[=\frac{384-96}{96}\times 100=300%\]


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