A triangular prism has 9 edges. How many vertices does it have?
- A8
- B6
- C12
- D10
Solution & Step-by-step Explanation
A triangular prism has two triangular bases and three rectangular sides.
Number of faces (F) = 2 (triangles)+3 (rectangles)=5
Number of edges (E) = 9
According to Euler's formula for polyhedra:
F+V−E=2
5+V−9=2
V−4=2
V=6
Thus, a triangular prism has 6 vertices.
Number of faces (F) = 2 (triangles)+3 (rectangles)=5
Number of edges (E) = 9
According to Euler's formula for polyhedra:
F+V−E=2
5+V−9=2
V−4=2
V=6
Thus, a triangular prism has 6 vertices.