Mathematics
Can a polyhedron have 15 faces, 30 edges and 20 vertices ?
3D in 2D
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Answer
F = 15, V = 20, E = 30
According to Euler's formula,
F + V - E = 2
F + V - E = 15 + 20 - 30
= 35 - 30
= 5
ā F + V - E is not equal to 2.
Hence, a polyhedron cannot have 15 faces, 30 edges and 20 vertices.
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