The 10th chapter of CBSE Class 8 Maths named ‘Visualising Solid Shapes’ is an important topic from the exam perspective. PDF of NCERT Class 8 Chapter 8 Solutions will help students understand the correct approach to answer the questions appropriately. The solutions for Class 8 CBSE Maths provided here are based on the latest syllabus provided by the board and has detailed explanations for all the questions provided in the NCERT textbooks. Get NCERT Class 8 solutions for all exercises for students to use as a reference for their exam preparations.
NCERT Solutions For Class 8 Maths Chapter 10 Maths
Solutions for the questions given in the NCERT Class 8 Maths Textbook will help you understand the topics better. Before you check the solutions, let’s have an overview of the topics and subtopics in this chapter. Click on any topic to download its solutions as a PDF.
NCERT Solutions for Class 8 Maths Chapter 10: Solved Exercises And In-Text Questions
Here are the solutions for the in-text questions and questions present in the exercises. Download the NCERT Solutions for 8th class Maths Chapter 10 PDF. You can see that all solutions have been explained in a step-by-step manner and have been framed according to the CBSE marking scheme.
NCERT Solutions For Class 8 Maths Chapter 10: Chapter Summary
All of us have seen a pyramid – what’s its shape? Conical! That’s right. What about football? What is the shape of a football? Spherical, you’d say? You’re right again. So, what’re these shapes? These are solid shapes. In simple terms, we’re visualizing solid shapes. So, in this chapter, you will learn more about visualizing solid shapes. NCERT Solutions for Class 8 CBSE Maths Chapter 10, presents different dimensions of shapes and geometrical figures to the students. It includes some very interesting concepts such as visualising solid shapes, views of 3d-shapes like cubes, cones, cylinders, 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 Exercise 10.1 Solutions
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.
(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.
(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.
(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:
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?
(d) City Park
(e) Sr. Secondary School
3. Draw a map of your school compound using proper scale and symbols for various features like playground, main building garden etc.
We advice students to do this themselves.
4. Draw a map giving instructions to your friends so that she reaches your house without any difficulty.
We advice students to do this themselves.
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?
(i) No, it is not possible to construct polyhedrons of such shape. A polyhedron should have minimum 4 faces.
(ii) Yes, a triangular pyramid will have 4 triangular faces.
(iii) Yes, a square pyramid has one 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)
It is possible, but only if the number of faces is 4 or more.
3. Which are prisms among the following:
(i) A nail: It is not a polyhedron as it has a curved surface on an end; it is also not a prism.
(ii) This is an unsharpened Pencil; It is a prism.
(iii) This is a table Weight; it is not a prism.
(iv) This is a box; it is a prism.
4. (i) How are prisms and cylinders alike?
(ii) How are pyramids and cones alike?
(i) A cylinder can be called a circular prism, a prism with a circular base.
(ii) A cone can be considered to be a circular pyramid, a pyramid with a circular base.
5. Is a square prism same as a cube? Explain.
Yes, a square prism can also be considered to be a cube. A square prism has square shape at its base. However, its height imay not be the same as the side of the square. So, a square prism can also be a cuboid.
6. Verify Euler’s formula for these solids.
(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
(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:
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?
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.
NCERT Solutions For Maths Class 8 Chapter 10 Exercises
NCERT Solutions for Class 8 Maths Chapter 10 mainly focuses on recognition of 2D, 3D objects and various other shapes in nested objects, maps and verification of polyhedron. The solutions to all the exercises in Chapter 10 are covered in a detailed and easy to understand way in this article.
The main topics covered in this chapter include:
Views of 3D-Shapes
Mapping Space Around Us
Faces, Edges and Vertices
Key Features of NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes
Easily followable practical techniques used for finding the correct answers.
The solutions are designed following the latest syllabus.
Solutions are prepared by subject matter experts.
NCERT Solutions provide students a detailed explanations in a step by step manner.
NCERT Solutions help students with the preparation of competitive exams.
FAQs Related To NCERT Solutions For Class 8 Maths Chapter 10
Here we have provided some of the frequently asked questions related to this chapter:
Q. What are the frequently asked topics of Chapter 10 of NCERT Solutions in the Class 8 Maths final exams? Ans: Some of the frequently asked topics of Chapter 8 of NCERT Solutions in the board exam of Class 10 Maths are introductions to visualizing solid shapes, mapping space around us and faces, views of 3D-Shapes, edges and vertices.
Q. How important are NCERT Solutions for Class 8 Maths Chapter 10 from an exam point of view? Ans: All the chapters present in NCERT Solutions for Class 8 Maths are vital for class 8 exams as well as in the preparation for higher grades. Students must practise all the questions present in NCERT Solutions for Class 8 Maths Chapter 10 to score the best possible marks.
Q. Why should we download NCERT Solutions for Class 8 Maths Chapter 10 from Embibe? Ans: Embibe provides the simplest and most direct answers for the questions present in the NCERT Solutions for Class 8 Maths Chapter 10. These solutions can be checked online and also downloaded and saved in PDF format. The solutions of this chapter are provided by experts very clearly with neat diagrams wherever necessary.