8th Class Mathematics Visualising Solid Shapes

  • question_answer 1)                 Using Euler's formula find the unknown.
    (i) (ii) (iii)
    Faces ? 5 20
    Vertices 6 ? 12
    Edges 12 9 ?
     

    Answer:

                    (i) \[F+V=E+2\] \[\Rightarrow \]               \[F+6=12+2\] \[\Rightarrow \]               \[F+6=14\] \[\Rightarrow \]               \[F=146=8\] (ii) \[F+V=E+2\] \[\Rightarrow \]               \[5+V=9+2\] \[\Rightarrow \]               \[5+V=11\] \[\Rightarrow \]               \[V=115=6\] (iii) \[F+V=E+2\] \[\Rightarrow \]               \[20+12=E+2\] \[\Rightarrow \]               \[32=E+2\] \[\Rightarrow \]               \[E=32-2\] \[\Rightarrow \]               \[E=30\]

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