NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes is provided in this article to assist the students of Class 8 in their studies. Are you looking for help in finding the answers to NCERT textbook questions for Visualising Solid Shapes? If yes, you are at the right place. NCERT Solutions is a very important resource for students of Class 8 under CBSE. The solutions for Class 8 CBSE Maths are based on the latest syllabus provided by the Board and have detailed explanations for all the questions provided in the NCERT textbooks. Get all exercise-wise NCERT Class 8 Maths Chapter 10 Solutions for students to boost their exam preparations and score good marks.

NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes

Access Answers to NCERT Class 8 Maths Chapter 10 Visualising Solid Shapes

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Exercise 10.1 Page No: 157

1. For each of the given solids, 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 solids, 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 â€“ water, red â€“ fire station, orange â€“ library, yellow â€“ schools, green â€“ park, pink â€“ college, purple â€“ hospital, brown â€“ cemetery.

(a) Mark a green â€˜Xâ€™ at the intersection of Road C and Nehru Road, Green â€˜Yâ€™ at the intersection of Gandhi Road and Road A.

(b) In red, draw a short street route from the 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) City Park

(d) Sr. Secondary School

2. Draw a map of your classroom using proper scales and symbols for different objects.

Solution:

It 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 a playground, main building, garden etc.

Solution:

Do it yourself

4. Draw a map giving instructions to your friend 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. A polyhedron should have a minimum of 4 faces.

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

(iii) Yes, as a 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: It 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 look like a circular prism, a prism with a circular base.

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

5. Is a square prism the 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 the same as the side of the square. Thus, a square prism can also be a cuboid.

6. Verify Eulerâ€™s formula for the given solids.

Solution:

(i) Number of faces, F = 7

Number of edges, E = 15

Number of vertices, V = 10

As per formula, F + V â€“ E = 2

Substitute the values, we have

F + V â€“ E = 7 + 10 â€“ 15

= 2

Hence, verified.

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

Using formula, F+ V â€“ E = 2

F + V â€“ E = 9 + 9 â€“ 16 = 2

Hence, Eulerâ€™s formula is verified.

7. Using Eulerâ€™s formula, find the unknown:

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

Solution:

Eulerâ€™s formula: F + V â€“ E = 2

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

(i) F + 6 â€“ 12 = 2

F = 2 + 6

â‡’ F = 8

(ii) 5 + V â€“ 9 = 2

V â€“ 4 = 2

â‡’ V = 4 + 2

â‡’ V = 6

(iii) 20 + 12 â€“ E = 2

32 â€“ E = 2

â‡’ E = 32 â€“ 2

â‡’ 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 Eulerâ€™s formula, which is stated as, F + V â€“ E = 2

For the given polygon,

F + V â€“ E = 10 + 15 â€“ 20 = 25 â€“ 20 = 5, which is not equal to 2.

Therefore, a polyhedron cannot have 10 faces, 20 edges and 15 vertices, as Eulerâ€™s formula is not satisfied.

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 and 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 detailed solutions for all the questions listed under the below exercises:
Exercise 10.1 Solutions: 4 Questions (Short answers)
Exercise 10.3 Solutions: 8 Questions (Short answers)

NCERT Solutions for Class 8 Maths Chapter 10 is mainly about recognising 2D and 3D objects and different shapes in nested objects, maps and verification of polyhedrons. 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 the following:

 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 are used to find 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 the preparation of competitive exams.

Disclaimer:

Dropped Topics â€“ 10.1 Introduction, 10.2 Views of 3D-Shapes, 10.3 Mapping Space Around Us and 10.4 Faces, Edges and Vertices.

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

Q1

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

The frequently asked topics of Chapter 10 of NCERT Solutions in the annual exam of Class 8 Maths are introductions to visualising solid shapes, views of 3D-shapes, mapping space around us and faces, edges and vertices.
Q2

Are 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 annual 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 in the annual exam.
Q3

Why should students download NCERT Solutions for Class 8 Maths Chapter 10 from BYJUâ€™S?

BYJUâ€™S provides the most accurate answers to the questions in the NCERT Solutions for Class 8 Maths Chapter 10. These solutions can be viewed online as well as downloaded in PDF. The solutions in this chapter are explained by subject-matter experts very clearly, with neat diagrams wherever necessary.