Question
Download Solution PDFThe number of vertices in polyhedron which has 30 edges on 12 faces is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The edges of the polyhedron = 30
The faces of the polyhedron = 12
Formula used:
Euler's formula for the polyhedron
F + V = E + 2 (Where F = The face of the polyhedron, V = The vertices of the polyhedron, and E = The edge of the polyhedron)
Calculation:
Let be assume the vertices of the polyhedron is V
⇒ 12 + V = 30 + 2
⇒ V = 32 - 12 = 20
∴ The required result will be 20.
Last updated on Jul 9, 2025
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