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Question
Which 3D shape does the following net represent? Verify Euler’s Formula for the given 3D shape.
\( \rightarrow \)
Which 3D shape does the following net represent? Verify Euler’s Formula for the given 3D shape.
\( \rightarrow \)
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Solution
The given net represents a triangular prism.
Euler's Formula: \( V+F=E+2 \)
In case of a triangular prism, \( V =6, F =5, E =9 \)
Considering L.H.S of Euler's formula:
L. H. S. \( =V+F=6+5 \)
\( \Rightarrow \) L. H.S. \( =11 \)
Similarly,
R. H. S. \( = E +2=9+2 \)
\( \Rightarrow \) R. H. S. \( =11 \)
Since L. H.S. = R. H. S, the Euler's formula is verified for the given 3D shape.
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