8th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then the ratio of the shorter side to the longer side is

    A)  \[6cm\]                       

    B)  \[6\frac{2}{3}cm\]

    C)  \[27\pi c{{m}^{3}}\]                                  

    D)  \[30\pi c{{m}^{3}}\]

    Correct Answer: D

    Solution :

    As shown in hint, distance saved \[=2\pi {{r}^{2}}\] or \[=3\pi {{r}^{2}}\] or \[\frac{4}{3}\pi \times {{6}^{3}}=\pi {{(0.2)}^{2}}\times h\] or \[\frac{4}{3}\times {{6}^{3}}={{(0.2)}^{2}}\times h\] or \[h=\frac{4\times {{6}^{3}}}{3\times {{(0.2)}^{2}}}=\frac{4\times 6\times 6\times 6}{3\times 0.04}\] or  \[=7200cm=72cm\]  or  \[1c{{m}^{2}}=100m{{m}^{2}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner