A solid has faces that consist of 4 triangles, 3 rectangles, and 1 hexagon. The solid has 9 vertices. How many edges does the solid have?
A 12 edges
B. 15 edges
C 18 edges
D 21 edges

Respuesta :

Answer:

Step-by-step explanation:

c)18

Answer:

  • B. 15 edges

Step-by-step explanation:

According  to Euler's formula:

  • F + V = E + 2, where F- faces, V- vertices, E- edges

Substitute known values and solve for E:

  • (4 + 3 + 1) + 9 = E + 2
  • 17 = E + 2
  • E = 17 - 2
  • E = 15

Correct choice is B