Question

count the number of faces edges vertices by using Euler's formula hexagonal prisim and pentagonal pyramid​

Answer 1

Answer:

Step-by-step explanation:

Prism formula

when base = n then faces = n+2 , vertices = 2n, edges = 3n

hexagonal prism base will be n = 6 as hexagon means 6

then faces = n+2 = 6+2 = 8

vertices = 2n = 2x6 = 12

edges = 3n = 3x6 = 18

Euler's rule:

Faces + vertices = edges + 2

⇒ 8 + 12 = 18 + 2

⇒ 20 = 20

pentagonal  prism base will be n = 5 as pentagon means 5

then faces = n+2 = 5+2 = 7

vertices = 2n = 2x5 = 10

edges = 3n = 3x5 = 15

Euler's rule:

Faces + vertices = edges + 2

⇒ 7 + 10 = 15 + 2

⇒ 17 = 17