 # NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes

## NCERT Solutions Class 8 Maths Chapter 10 – Free PDF Download

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes have been made available for the students of 8th grade. Are you looking for help in finding the answers to Visualising Solid Shapes NCERT textbook questions? If yes, you are at the right place. NCERT Solutions is a very important resource for students of CBSE Class 8. Solutions for Class 8 CBSE Maths are based on the latest syllabus provided by the board and has detailed explanations for all the questions provided in the NCERT textbooks. Get all exercise-wise NCERT Class 8 solutions to help students boost exam preparations.

### Access Answers to NCERT Class 8 Maths Chapter 10 Visualising Solid Shapes             Exercise 10.1 Page No: 157

1. For each of the given solid, the two views are given. Match for each solid the corresponding top and front views. The first one is done for you. Solution:

(a) (iii) (iv)

(b) (i) (v)

(c) (iv) (ii)

(d) (v) (iii)

(e) (ii) (i)

2. For each of the given solid, the three views are given. Identify for each solid the corresponding top, front and side views. Solution:

(a) (i) Front (ii) Side (iii) Top view

(b) (i) Side (ii) Front (iii) Top view

(c) (i) Front (ii) Side (iii) Top view

(d) (i) Front (ii) Side (iii) Top view

3. For each given solid, identify the top view, front view and side view. Solution:

(a) (i) Top view (ii) Front view (iii) Side view

(b) (i) Side view (ii) Front view (iii) Top view

(c) (i) Top view (ii) Side view (iii) Front view

(d) (i) Side view (ii) Front View (iii) Top view

(e) (i) Front view (ii) Top view (iii) Side view

4. Draw the front view, side view and top view of the given objects: Solution:   Exercise 10.2 Page No: 157

1. Look at the given map of a city. Colour the map as follows: Blue-water, red-fire station , orange-library, yellow – schools, Green – Park , Pink – College, Purple – Hospital , Brown-Cemetery.

(a) Mark a green ‘X’ at the intersection of Road C and Nehru Road, Green ‘Y’ at the intersection of Gandhi Road and Road A.

(b) In red, draw a short street route from library to the bus depot.

(c) Which is the further east, the city park or the market?

(d) Which is further south, the primary School or the Sr. Secondary School?

Solution:

(a) (b) (c) (d) City Park

(e) Sr. Secondary School

2. Draw a map of your class room using proper scale and symbols for different objects.

Solution:

Can be anything. For your reference we have shared one classroom picture: 3. Draw a map of your school compound using proper scale and symbols for various features like playground, main building garden etc.

Solution:

Do it yourself

4. Draw a map giving instructions to your friends so that she reaches your house without any difficulty.

Solution:

Do it yourself

Exercise 10.3 Page No: 166

1. Can a polyhedron have for its faces:

(i) 3 Triangles?

(ii) 4 triangles?

(iii) A square and four triangles?

Solution:

(i) No, such polyhedrons are not possible. Such figures should have minimum 4 faces.

(ii) Yes, a triangular pyramid has 4 triangular faces.

(iii) Yes, as square pyramid has a square face and 4 triangular faces.

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

Solution:

It is possible, only if the number of faces is greater than or equal to 4.

3. Which are prisms among the following: Solution:

(i) A nail: Not a polyhedron as it has a curved surface. This is not a prism.

(ii) Unsharpened Pencil: It is a prism.

(iii) A table Weight: It is not a prism.

(iv) A Box: It is a prism.

4. (i) How are prisms and cylinders alike?

(ii) How are pyramids and cones alike?

Solution:

(i) A cylinder can be looks like circular prism, a prism with circular base.

(ii) A cone can be a circular pyramid, a pyramid with circular base.

5. Is a square prism same as a cube? Explain.

Solution:

Yes, a square prism can also be a cube. A square prism has a square as its base. However, its height is not necessarily same as the side of the square. Thus, a square prism can also be a cuboid.

6. Verify Euler’s formula for these solids. Solution:

(i) Number of faces, F = 7

Number of edges, E = 15

Number of vertices, V = 10

As per formula, F + V – E = 2

Substitute the values, we have

F + V – E = 7 + 10 – 15

= 2

Hence, verified.

(ii) Here, F = 9, V = 9 and E = 16

Using formula, F+ V – E = 2

F + V – E = 9 + 9 – 16 = 2

Hence, Euler’s formula is verified.

7. Using Euler’s formula, find the unknown:

 Faces ? 5 20 Vertices 6 ? 12 Edges 12 9 ?

Solution:

Euler’s formula: F + V – E = 2

Where, F = Faces, V = Vertices and E = Edges

(i) F + 6 – 12 = 2

F = 2 + 6

⇒ F = 8

(ii) 5 + V – 9 = 2

V – 4 = 2

⇒ V = 6

(iii) 20 + 12 – E = 2

32 – E = 2

⇒ E = 30

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

Solution:

From the given data, we have

F = 10

E = 20

V = 15

Every polyhedron satisfies Euler’s formula, which is stated as, F + V – E = 2

For the given polygon,

F + V – E = 10 + 15 – 20 = 25 – 20 = 5, which is not equal to 2

Therefore, A polyhedron is not possible as Euler’s formula is not satisfied.

 Also Access NCERT Exemplar for Class 8 Maths Chapter 10 CBSE Notes for Class 8 Maths Chapter 10

### NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes

NCERT Solutions for Class 8 CBSE Maths Chapter 10, introduces the different dimensions of shapes and geometrical figures to the students. This chapter contains some very interesting concepts such as visualising solid shapes, views of 3d-shapes like cubes, cylinders, cones, spheres, etc. mapping space around us and faces, edges and vertices. NCERT Solutions Class 8 Chapter 10 Visualising Solid Shapes chapter is very interesting and easy to understand.

### NCERT Solutions For Class 8 Maths Chapter 10 Exercises:

Get a detailed solution for all the questions listed under the below exercises:
Exercise 10.1 Solutions : 4 Questions (Short answers)
Exercise 10.2 Solutions : 4 Questions (3 Short answers, 1 Long answer)
Exercise 10.3 Solutions : 8 Questions (Short answers)

NCERT Solutions for Class 8 Maths Chapter 10 is mainly about recognising 2D, 3D objects and different shapes in nested objects, maps and verification of polyhedron. The solutions to all the topics in Chapter 10 are covered in a detailed and easy to understand way.
The main topics covered in this chapter include:

 Exercise Topic 10.1 Introduction 10.2 Views of 3D-Shapes 10.3 Mapping Space Around Us 10.4 Faces, Edges and Vertices

### Key Features of NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes

1. Easy and simple techniques used for finding accurate solutions.
2. These solutions are designed based on the latest syllabus.
3. Solutions are prepared by subject experts.
4. NCERT Solutions helps students by providing detailed explanations in a stepwise manner.
5. NCERT Solutions are helpful for preparation of competitive exams.

## Frequently Asked Questions on NCERT Solutions for Class 8 Maths Chapter 10

### List out the frequently asking topics of Chapter 10 of NCERT Solutions in the board exam of Class 8 Maths.

The frequently asked topics of Chapter 8 of NCERT Solutions in the board exam of Class 10 Maths are introductions to visualizing solid shapes, views of 3D-Shapes, mapping space around us and faces, edges and vertices.

### Is NCERT Solutions for Class 8 Maths Chapter 10 important from an exam point of view?

Yes, all the chapters present in NCERT Solutions for Class 8 Maths are important for board exams as well as for higher grades. Students should practise all the questions present in NCERT Solutions for Class 8 Maths Chapter 10 to procure high marks.

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BYJU’S provides the most accurate answers for the questions present in the NCERT Solutions for Class 8 Maths Chapter 10. These solutions can be viewed online as well as downloaded in the PDF format. The solutions of this chapter are explained by experts very clearly with neat diagrams wherever necessary.