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.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 10

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.

☛ Related Questions:

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