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

  • question_answer
    The size of a wooden block is \[(15\,cm\times 12\,cm\times 20\,cm).\]How many such blocks will be required to construct a solid wooden cube of minimum size?

    A) 45

    B) 48

    C) 60

    D) 75

    Correct Answer: C

    Solution :

    [c] Side of smallest cube = LCM (15 cm, 12 cm, 20 cm) = 60 cm Volume of such a cube\[=(60\times 60\times 60)\,c{{m}^{3}}\] Volume of 1 given block \[=(15\times 12\times 20)\,c{{m}^{3}}\] Required number of blocks\[=\left( \frac{60\times 60\times 60}{15\times 12\times 20} \right)=60\]


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