Which of the following will not form a polyhedron?
(a) 3 triangles
(b) 2 triangles and 3 parallelogram
(c) 8 triangles
(d) 1 pentagon and 5 triangles

Solution:

We have to find the given combination of figures which will not form a polyhedron.

A solid is a polyhedron if it is made up of only polygonal faces, the faces meet at edges which are line segments and the edges meet at a point called vertex.

A polyhedron has more than four polygonal faces.

2 triangles and 3 parallelograms; 8 triangles and 1 pentagon and 5 triangles has more than four polygonal faces.

In the case of 3 triangles, there are only three faces.

Therefore, 3 triangles will not form a polyhedron.

✦ Try This: Which of the following will not form a polyhedron?

(a) 2 triangles and 1 parallelogram

(b) 2 triangles and 3 parallelogram

(c) 8 triangles

(d) 1 pentagon and 5 triangles

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 10

NCERT Exemplar Class 8 Maths Chapter 6 Problem 2

Which of the following will not form a polyhedron? (a) 3 triangles, (b) 2 triangles and 3 parallelogram, (c) 8 triangles, (d) 1 pentagon and 5 triangles

Summary:

3 triangles will not form a polyhedron

☛ Related Questions:

Which of the following will not form a polyhedron? (a) 3 triangles (b) 2 triangles and 3 parallelogram (c) 8 triangles (d) 1 pentagon and 5 triangles

Which of the following will not form a polyhedron? (a) 3 triangles, (b) 2 triangles and 3 parallelogram, (c) 8 triangles, (d) 1 pentagon and 5 triangles

Which of the following will not form a polyhedron?
(a) 3 triangles
(b) 2 triangles and 3 parallelogram
(c) 8 triangles
(d) 1 pentagon and 5 triangles