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

  • question_answer
    The total number of spherical bullets, each of  diameter 5 cm, that can be made by utilizing the maximum of a rectangular block of lead with 11    length, 10 cm  breadth and 5 cm width is (assume that it > 3)

    A) equal to 8800

    B) less than 8800

    C) equal to 8400

    D) greater than 9000

    Correct Answer: C

    Solution :

    [c] Required number of bullets \[=\frac{\text{Volume}\,\text{of}\,\text{ractangular}\,\text{block}}{\text{Volume}\,\text{of}\,\text{one}\,\text{spherical}\,\text{bullet}}\] \[=\frac{110\times 100\times 50}{\frac{4}{3}\times \frac{22}{7}\times \frac{5}{2}\times \frac{5}{2}\times \frac{5}{2}}\] \[=\frac{110\times 100\times 50\times 3\times 7\times 8}{4\times 22\times 125}=8400\]


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