Question

Which 3D shape does the following net represent? Verify Euler’s Formula for the given 3D shape.
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Answer 1

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.