Question

What is the difference between the sum of the number of faces, vertices, and edges of a Triangular Prism to the sum of the number of faces, vertices, and edges of a Triangular Pyramid?

• A. 5
• B. 6
• C. 3
• D. 7

Answer 1

The correct option is B 6

• In geometry, an edge is where two faces meet in an object.
• The common endpoint of two or more rays or line segments is known as Vertex.
• In any geometric solid that is composed of flat surfaces, each flat surface is called a Face.

Triangular Prism has 9 Edges, 6 Vertices, and 5 Faces as shown in the figure below.

Triangular Pyramid has 4 Faces, 4 Vertices, and 6 Edges as shown in the figure below.


$\therefore$ (Number of edges + Number of vertices + Number of faces) of Triangular Prism - (Number of edges + Number of vertices + Number of faces) of Triangular Pyramid
=(9+6+5)-(6+4+4)
=6