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SSC Sample Paper SSC CGL - Sample Paper-12

  • question_answer
    The areas of three consecutive faces of a cuboid are \[12\,c{{m}^{2}},\] \[20\,c{{m}^{2}}\] and \[15\,c{{m}^{2}},\] then the volume (in \[c{{m}^{3}}\]) of the cuboid is

    A) 3000                

    B) 100

    C) 80                    

    D) 60

    Correct Answer: D

    Solution :

    If the length, breadth and height of the cuboid be x, y and z cm respectively, then xy = 12, yz = 20, zx = 15 \[\therefore \]      \[{{x}^{2}}{{y}^{2}}{{z}^{2}}=12\times 20\times 15\]                         \[=3600\,c{{m}^{6}}\] \[\therefore \]      \[V=xyz=\sqrt{3600}=60\,c{{m}^{3}}\]


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