Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid)

NCERT - Mathematics

Book: NCERT - Mathematics

Chapter: 10. Visualising Solid Shapes

Subject: Maths - Class 8^th

Q. No. 2 of Exercises 10.3

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2

Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid)

A polyhedron has a minimum of 4 faces

2

Chapter Exercises

Exercises 10.1

Exercises 10.2

Exercises 10.3

1

Can a polyhedron have for its faces
(i) 3 triangles?

(ii) 4 triangles?

(iii) A square and four triangles?

2

Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid)

3

Which are prisms among the following?
(i)

(ii)

(iii)

(iv)

4

(i) How are prisms and cylinders alike?
(ii) How are pyramids and cones alike?

5

Is a square prism same as a cube? Explain

6

Verify Euler’s formula for these solids.
(i)

(ii)

7

Using Euler’s formula find the unknown

Faces

?

5

20

Vertices

6

?

12

Edges

12

9

?

8

Can a polyhedron have 10 faces, 20 edges and 15 vertices?