9th Class Mathematics Surface Areas and Volumes Question Bank Surface Area and Volume

  • question_answer
    The base of a right prism is an equilateral triangle of side 6 cm and height of the prism is 20 cm. then the volume of the prism is

    A)  \[320\sqrt{3}\]cubic cm             

    B)  \[180\sqrt{3}\]cubic cm

    C)  \[150\sqrt{3}\]cubic cm             

    D)  \[300\sqrt{3}\]cubic cm

    Correct Answer: B

    Solution :

    (b): Area of the base \[=\frac{\sqrt{3}}{4}\times {{\left( side \right)}^{2}}\] \[=\frac{\sqrt{3}}{4}\times 6\times 6=9\sqrt{3}\]sq.cm \[\therefore \] Volume of prism =Area of base \[\times \] height \[=9\sqrt{3}\times 20=180\sqrt{3}\]cu. cm


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