NTSE Sample Paper NTSE SAT Practice Test-6

  • question_answer
    The base of the pyramid is an equilateral triangle of side 1 metre. If the height of the pyramid is 4 metres, then the volume is

    A) \[0.550{{m}^{3}}\]     

    B)        \[0.577{{m}^{3}}\]

    C) \[0.678{{m}^{3}}\]     

    D)        \[0.750{{m}^{3}}\]

    Correct Answer: B

    Solution :

    [b] Volume of the pyramid \[=\frac{1}{3}\] (Area of the base) \[\times \] height \[=\frac{1}{3}\left( \frac{\sqrt{3}}{4}\times 1\times 1 \right)\times 4{{m}^{3}}\] \[=\frac{1}{\sqrt{3}}=\frac{1}{3}.\sqrt{3}=\frac{1.732}{3}\,\,{{m}^{3}}\] = 0.577 m3


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