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

  • question_answer
    The length of the longest rod that can be kept in a cuboidal room of dimensions \[10\,m\times 10\,m\times 5\,m\]is ___.

    A)  16 m                           

    B)  10 m   

    C)         15 m               

    D)         12 m

    Correct Answer: C

    Solution :

    Given, length of cuboid \[(l)=10\,m\] Breath of cuboid (b) = 10 m Height of cuboid (h) = 5 m As, length of longest rod in cuboid = Diagonal of cuboid \[=\sqrt{{{l}^{2}}+{{b}^{2}}+{{h}^{2}}}=\sqrt{{{(10)}^{2}}+{{(10)}^{2}}+{{(5)}^{2}}}\] \[=\sqrt{100+100+25}=\sqrt{225}=15\,\]


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