# Can a polyhedron have for its faces

(i) 3 triangles? (ii) 4 triangles? (iii) a square and four triangles?

**Solution:**

A polyhedron is made up of polygonal regions which are called its faces; these faces meet at edges which are line segments, and the edges meet at vertices which are points. A polyhedron has at least 4 faces.

(i) No. There are only 3 faces. A polyhedron's edges have to meet at the vertices which are points.

(ii) Yes. A triangular pyramid can be formed with 4 triangles as the edges meet at vertices which are points.

(iii) Yes. A square pyramid can be formed with 1 square and 4 triangles as the edges meet at vertices which are points.

**Video Solution:**

## Can a polyhedron have for its faces (i) 3 triangles? (ii) 4 triangles? (iii) a square and four triangles?

### Maths NCERT Solutions Class 8 - Chapter 10 Exercise 10.3 Question 1

**Summary:**

A polyhedron (i) cannot have 3 triangles. (ii) can have 4 triangles. (iii) can have a square and four triangles.