The number of edges can be found using Euler's formula for polyhedra:
Number of vertices + Number of faces - Number of edges = 2.
Given that the solid has 9 vertices, 4 triangles, 3 rectangles, and 1 hexagon, we can substitute these values into the equation:
9 + 4 + 3 + 1 - Number of edges = 2.
Simplifying this equation gives:
17 - Number of edges = 2.
Adding "Number of edges" to both sides of the equation gives:
17 = 2 + Number of edges.
Subtracting 2 from both sides of the equation gives:
Number of edges = 17 - 2 = 15.
Therefore, the solid has 15 edges.
Answer: B. 15 edges.
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
1 answer
1 answer