Question

Take 5 polyhedrons and verify the Euler's formula(F+V-E=2) for the polyhedrons

Answer 1

Hey Dear,

● Euler's formula -

According to Euler's formula, no of edges (E), faces(F) & vertexes(V) are related as -

F + V - E = 2

# For example -

1) Cube -

LHS = F + V - E

LHS = 6 + 8 - 12

LHS = 2

LHS = RHS

2) Pyramid -

LHS = F + V - E

LHS = 5 + 6 - 9

LHS = 2

LHS = RHS

3) Tetrahedron -

LHS = F + V - E

LHS = 4 + 4 - 6

LHS = 2

LHS = RHS

4) Octahedron -

LHS = F + V - E

LHS = 8 + 6 - 12

LHS = 2

LHS = RHS

5) Icosahedron -

LHS = F + V - E

LHS = 20 + 12 - 30

LHS = 2

LHS = RHS

Hope this helped you.