Question

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

Explanation:

Step1: Recall the definition of faces in a triangular pyramid

A face is a flat surface. A triangular pyramid has a triangular base and three triangular lateral faces. So the number of faces is \(1 + 3=4\).

Step2: Recall the definition of edges in a triangular pyramid

An edge is a line segment where two faces meet. The base triangle has 3 edges, and there are 3 edges connecting the base vertices to the apex. So the number of edges is \(3+3 = 6\).

Step3: Recall the definition of vertices in a triangular pyramid

A vertex is a point where edges meet. The base triangle has 3 vertices, and there is 1 apex. So the number of vertices is \(3 + 1=4\).

Answer:

Faces: \(4\)
Edges: \(6\)
Vertices: \(4\)