Question

identify the faces, edges and vertices of this triangular prism. enter the number of faces. faces: ? edges: vertices:

Explanation:

Step1: Recall the definition of faces

A face is a flat surface of a 3 - D shape. A triangular prism has 2 triangular bases and 3 rectangular lateral faces.
So, the number of faces is \(2 + 3=5\).

Step2: Recall the definition of edges

An edge is a line segment where two faces meet. For a triangular prism, we can count them. Each triangle has 3 edges, and there are 3 lateral edges connecting the corresponding vertices of the two triangles. So, the number of edges is \(3\times2+3 = 9\).

Step3: Recall the definition of vertices

A vertex is a point where three or more edges meet. Each triangle has 3 vertices. So, the number of vertices is \(3\times2=6\).

Answer:

Faces: \(5\)
Edges: \(9\)
Vertices: \(6\)