10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    A right pyramid is on a regular hexagonal base. Each side of the base is 10 m. Its height is 60 m. The volume of the pyramid is

    A) \[\text{5196}{{\text{m}}^{\text{3}}}\]             

    B)         \[\text{52}00{{\text{m}}^{\text{3}}}\]

    C) \[\text{521}0\text{ }{{\text{m}}^{\text{3}}}\]            

    D)        \[\text{522}0\text{ }{{\text{m}}^{\text{3}}}\]

    Correct Answer: A

    Solution :

     Volume of pyramid\[=\frac{1}{3}\] [Area of hexagonal base of side \[10\,m\times \]Height] \[=\frac{1}{3}\left[ \frac{3\sqrt{3}}{4}\,{{(10)}^{2}}\times 60 \right]=5196\,{{m}^{3}}\]


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