How many diagonals does a prism have whose base is a regular polygon with 3 sides?
A) 30
B) 9
C) 6
D) 14
E) 3

Question

How many diagonals does a prism have whose base is a regular polygon with 3 sides? ​
A) 30
B) 9
C) 6
D) 14
E) 3

Quizplus · Accepted Answer

A prism with a triangular base has 6 vertices and 9 edges. The formula for the number of diagonals in a polyhedron is given by: Diagonals = (n(n-3))/2, where n is the number of vertices. For this prism, the number of diagonals is (6(6-3))/2 = 9. However, this includes the edges, so we subtract the 9 edges, resulting in 6 diagonals.

How Many Diagonals Does a Prism Have Whose Base Is