Railways Sample Paper RRB (Group D) Sample Test Paper-4

  • question_answer
    If the sum of the dimensions of a rectangular parallelepiped is 24 cm and the length of the diagonal is 15 cm, then the total surface area of it is

    A)  \[420\,\,c{{m}^{2}}\] 

    B)  \[275\,\,c{{m}^{2}}\]

    C)  \[351\,\,c{{m}^{2}}\] 

    D)  \[378\,\,c{{m}^{2}}\]

    Correct Answer: C

    Solution :

    [c] Let length, breadth and height of parallelepiped be I, b and h respectively. \[x=102-\,100=2\] \[{{(l+b+h)}^{2}}-2\,\,(lb+hb+lh)=225\] \[{{(24)}^{2}}-225=2\,\,(lb+bh+hl)\] \[351=2\,\,(lb+bh+hl)\] Total surface area is 351 cm2.


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