10th Class Mathematics Surface Areas and Volumes Question Bank Surface Area and Volume (Mensuration)

  • question_answer The whole surface of a rectangular block is 8788 square cm. If length, breadth and height are in the ratio of\[4:3:2\], find length.

    A)  26 cm                         

    B)  52 cm  

    C)  104 cm            

    D)  13 cm

    Correct Answer: B

    Solution :

    (b): Let the common ratio be = x Then, length = 4x, breadth = 3x and height = 2x As per question: \[2(4x.3x+3x.2x+2x.4x)=8788\] \[\therefore \] \[2(12{{x}^{2}}+6{{x}^{2}}+8{{x}^{2}})=8788\] \[\Rightarrow \]   \[52{{x}^{2}}=8788\Rightarrow x=13\] \[\therefore \]      Length \[=4x=52\text{ }cm\].     

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