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

  • question_answer
    Base of a right pyramid is a square, length of diagonal of the base is \[24\sqrt{2}\,m.\] If the volume of the pyramid is 1728 cu m its height is

    A) 7 m

    B) 8 m

    C) 9 m

    D) 10 m

    Correct Answer: C

    Solution :

    [c] Volume of pyramid = 1728 \[\frac{1}{3}\times \text{Area}\,\text{of}\,\text{base}\times \text{Height}=1728\] \[\Rightarrow \]   \[\frac{1}{3}\times 24\times 24\times \text{Height}=1728\] \[\Rightarrow \]   \[\text{Height}=\frac{1728\times 3}{24\times 24}=9\,m\]


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