10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    If the volume of a prism is \[1920\sqrt{3}\,c{{m}^{3}}\]and the side of the equilateral base is 16 cm, then the height (in cm) of the prism is

    A)  19

    B)  20

    C)  30  

    D)  40

    Correct Answer: C

    Solution :

     Area of the base \[=\frac{1}{2}\times {{(16)}^{2}}\times \frac{\sqrt{3}}{2}\] \[=64\sqrt{3}\,c{{m}^{2}}\] \[\therefore \]Height \[=\frac{Volume}{Area\,of\,the\,base}\]                 \[=\frac{1920\sqrt{3}}{64\sqrt{3}}=30cm\]


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