Respuesta :
Answer:
The number of black pieces needed to manufacture the ball is 11 black pieces
Step-by-step explanation:
Given that the number of pieces in the soccer ball = 32 pieces
The shape of the white piece = Hexagon
The shape of the black piece = Pentagon
Each black piece borders with only white pieces
Each white piece borders with three black pieces and three white pieces
For the first black pie piece is borders to 5 white pieces total 6 pieces
Each of the five white pieced borders 3 pieced total 5 black pieces on the sides and one white piece on top to make an additional 10 piece total = 10 + 6 = 21 piece
Each black piece holds one white piece to add extra 5 pieces to make the total = 26
At the outermost shell of the arrangement, each of the white piece attached to a black piece will attach to an extra black piece, bringing the total to 26 + 5 = 31,
The last piece is white
Total black piece = 1 + 5 + 5 = 11 black pieces.
