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8th Class Mathematics Visualising Solid Shapes Question Bank Visualising Solid Shapes

  • question_answer
    Using Euler's formula, find the values of P, Q, R and S respectively.
    Faces 6 5 20 14
    Vertices P Q 36 R
    Edges 12 9 S 36

    A)  8, 6, 24, 54                

    B)           8, 6, 56, 22    

    C)           6, 8, 24, 54                

    D)           7, 8, 56, 22

    Correct Answer: A

    Solution :

    We have, 6 + P = 12 + 2 \[\therefore \] p=14-6=8 Also, 5 + Q = 9 + 2 \[\Rightarrow \] Q = 11 - 5 = 6 Also, 20 + 36 = S + 2 \[\Rightarrow \] S = 56 - 2 = 54 And 14 + R = 36 + 2 \[\Rightarrow \] R = 38 - 14 = 24


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