Question

Can a polyhedron have 15 faces, 20 edges and 15 vertices? Justify your answer.​

Answer 1

Answer:

no a polyhedron cant have 10 faces , 20 edges, and 15 vertices as eulers formula is not satisfied

no a polyhedron cant have 10 faces , 20 edges, and 15 vertices as eulers formula is not satisfied euler's formula = faces+ vertices-edges = 2

no a polyhedron cant have 10 faces , 20 edges, and 15 vertices as eulers formula is not satisfied euler's formula = faces+ vertices-edges = 2 10 + 15-20 = 2

no a polyhedron cant have 10 faces , 20 edges, and 15 vertices as eulers formula is not satisfied euler's formula = faces+ vertices-edges = 2 10 + 15-20 = 2 25-20 = 2

no a polyhedron cant have 10 faces , 20 edges, and 15 vertices as eulers formula is not satisfied euler's formula = faces+ vertices-edges = 2 10 + 15-20 = 2 25-20 = 2 5\neq

no a polyhedron cant have 10 faces , 20 edges, and 15 vertices as eulers formula is not satisfied euler's formula = faces+ vertices-edges = 2 10 + 15-20 = 2 25-20 = 2 5\neq

no a polyhedron cant have 10 faces , 20 edges, and 15 vertices as eulers formula is not satisfied euler's formula = faces+ vertices-edges = 2 10 + 15-20 = 2 25-20 = 2 5\neq= 2

no a polyhedron cant have 10 faces , 20 edges, and 15 vertices as eulers formula is not satisfied euler's formula = faces+ vertices-edges = 2 10 + 15-20 = 2 25-20 = 2 5\neq= 2so it cant have 10 faces , 20 edges, and 15 vertices