1 find the pyramids there are in shapes ak count the number

1. find the pyramids there are in shapes a-k. count the number f of faces, the number v of vertices, and the number e of edges for each pyramid. organize the data table.

2. find similar counts for hexagonal pyramid a 100- gonal pyramid an n- gonal pyramid and an (x+y) gonal pyramid.

Solution

1) No Pyramid Diagrams given

2) For a pyramid that has an n-gon base

Faces = n + 1

   Vertices = n + 1

Edges = 2n

  Therfore,

Hexagonal pyramid : n = 6

Faces = n + 1 = 6 +1 = 7

   Vertices = n + 1 = 6 + 1 = 7

Edges = 2n = 2 x 6 = 12

100 gonal pyramid:

n = 100

Faces = n + 1 = 100 +1 = 101

   Vertices = n + 1 = 100 +1 = 101

Edges = 2n = 2 x 100 = 200

n-gonal pyramid:

Faces = n + 1

   Vertices = n + 1

Edges = 2n

(x+y) gonal pyramid

n = x + y

Faces = (x + y) + 1

   Vertices = ( x + y ) + 1

Edges = 2 ( x + y)