Question

Verify the Euler's Formula for:
(a) Hexagonal Prism and Pyramid
(b) Triangular prism and pyramid​

Answer 1

1. Euler’s formula for any polyhedron is,
2. F + V – E = 2

Answer 2

Euler's Formula for hexagonal Prism, Hexagonal Pyramid, Triangular Prism and Triangular Pyramid is verified.

Step-by-step explanation:

Euler's Formula

F + V = E + 2

where F is the number of Faces

E is the number of Edges

V is the number of vertices

a) Euler's Formula for hexagonal prism:

F = 8, E = 18, V = 12

F + V = E + 2

8 + 12 = 20

18 + 2 = 20

a) Euler's Formula for Pyramid:

F = 7, E = 12, V = 7

F + V = E + 2

7 + 7 = 12 + 2 = 14

b) Euler's Formula for Triangular Prism :

F = 5, E = 9, V = 6

F + V = E + 2

5 + 6 = 9 + 2

11 = 11

b)Euler's Formula for Triangular Pyramid :

F = 4, E = 6, V = 4

F + V = E + 2

4+ 4 = 6 + 2

8 = 8

Thus Euler's Formula for hexagonal Prism, Hexagonal Pyramid, Triangular Prism and Triangular Pyramid is verified.

To Learn More.....

1. Verify Euler's formula for decagonal pyramid​

https://brainly.in/question/8387233

2. State and verify Euler’s formula for a cube

https://brainly.in/question/8016415