Question
Download Solution PDFA regular dodecahedron is sliced by a plane passing through two opposite edges and not through any vertices. What is the shape of the cross-section ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: A regular dodecahedron is sliced by a plane passing through two opposite edges and not through any vertices.
When a regular dodecahedron is sliced by a plane passing through two opposite edges and not through any vertices, the shape of the resulting cross-section will be a four-sided figure.
Thus, the shape of the resulting cross-section will be a four-sided figure i.e. parallelogram.
Hence, "Parallelogram" is the correct answer.
Additional InformationProperties of Dodecahedron
→ 12 faces of a regular pentagon.
→ 20 vertices and at each vertex three edges meet
→ 30 edges
→ 60 diagonals
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