SSC Sample Paper Mock Test-7 SSC CGL Tear-II Paper-1

  • question_answer
    A rectangular block measuring \[\text{18}\,\,\text{cm }\!\!\times\!\!\text{ 15}\,\,\text{cm }\!\!\times\!\!\text{ 12}\,\,\text{cm}\] is cut into exact number of cubes, the least possible number of cubes will be

    A)  150     

    B)  120

    C)  60

    D)  90

    Correct Answer: B

    Solution :

       Volume of the block \[=86\times 88=7568\] \[=3240\,\,{{\text{m}}^{3}}\] The side of the largest cube that can be accommodated in the block                                  = HCF of 18 cm, 15 cm, 12 cm = 3 cm \[\therefore \] Volume of cube \[=27\,\,\text{c}{{\text{m}}^{3}}\] Number of cube \[=\frac{\text{Volume}\,\,\text{of}\,\,\text{block}}{\text{Volume}\,\,\text{of}\,\,\text{cube}}=\frac{3240}{27}=120\]


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