Determine the number of edges, vertices and faces in the Fig. 12.12.

Solution:

We know that

The different plain regions are known as faces.

The figure has 5 faces.

The line segments which are formed where the faces meet are known as edges.

The figure has 8 edges.

The edges meet a point known as vertices.

The figure has 5 vertices.

Therefore, a square pyramid has 8 edges, 5 vertices and 5 faces.

✦ Try This: Given a line l and a point M on it draw a perpendicular MP to l where MP = 4.2cm and a line q parallel to l through P.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 14

NCERT Exemplar Class 7 Maths Chapter 12 Sample Problem 16

Determine the number of edges, vertices and faces in the Fig. 12.12.

Summary:

The number of edges, vertices and faces in Fig. 12.12 is 8, 5 and 5.

☛ Related Questions:

• A triangle can be constructed by taking its sides as: (a) 1.8 cm, 2.6 cm, 4.4 cm, (b) 2 cm, 3 cm, 4 . . . .
• A triangle can be constructed by taking two of its angles as: (a) 110°, 40°, (b) 70°, 115°, (c) 135° . . . .
• The number of lines of symmetry in the figure given below is: (a) 4, (b) 8, (c) 6, (d) Infinitely ma . . . .