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NCERT Solutions for Visualizing Solid Shapes Exercise 10.3 Class 8 Maths


Class 8 Maths Chapter 10 Exercise 10.3: Chapter 10 of Class 8 Maths covers the concept of visualizing solid shapes. Detailed step-by-step solutions for all of the Ex 10.3 exercise questions are provided here in this article. All students who want to get the highest score on the CBSE Class 8 final exam should solve exercise questions from NCERT textbooks multiple times. These solutions will also help students understand the important concepts discussed in this chapter.

Embibe’s academic experts conducted extensive research and compiled the NCERT answers for Ex 10.3 Class 8. They are aware of the understanding levels of the students in Class 8 and prepare the solutions accordingly. Furthermore, the solutions are fully compliant with CBSE standards, so students will have no difficulties using them for final exam questions. We’ve provided the solutions in PDF format for students’ convenience. Continue to read!

NCERT Solutions for Visualizing Solid Shapes Ex 10.3 Class 8 Maths: Overview

The CBSE NCERT solutions aim at helping students improve their grades and mastery of various topics. These solutions provide step-by-step explanations to all students in Classes 6 to 12. On Embibe, NCERT book solutions for Class 6 to Class 12 are available in PDF format below. Students can quickly download these solutions and use it to prepare for their exams. Before we provide you with the solutions, let’s have an overview:

ClassClass 8
Chapter Number10
Chapter NameVisualizing Solid Shapes
Exercise NumberEx 10.3
Topic NamesFaces, Edges, and Vertices
Solution TypeIn-text Solved Questions (Exercise Solutions)
Official Websitehttps://ncert.nic.in/ 

NCERT Solutions for Class 8 Maths Chapter 10 Ex 10.3: Download PDFs

Class 8 Maths Chapter 10.3 solutions are available in PDF format. Students who do not always have reliable internet access can benefit from this. You may easily print these solutions on paper if you need offline access. Furthermore, students should bookmark this website for future reference.

Here are the answers to the in-text questions and the exercises’ questions. NCERT Solutions for Class 8 Exercise 10.3 Maths are available in PDF format. You can see that all of the solutions have been broken down into steps and presented according to the CBSE curriculum. Click on the link provided below to download the complete solutions in PDF format:

NCERT Solutions for Class 8 Maths Chapter 10 Ex. 10.3- Download Here

NCERT Solutions for Class 8 Maths Ex 10.3 Page 166

Here we have provided the solutions for Class 8 Maths Exercise 10.3.

1. Can a polyhedron have for its faces:
(i) 3 Triangles?
(ii) 4 triangles?
(iii) A square and four triangles?

Solution: (i) No, it is not possible to construct polyhedrons of such shape. A polyhedron should have a minimum of 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)

Solution: It is possible, but only if the number of faces is 4 or more.

3. Which are prisms among the following?

Solution: (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?

Solution: (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.

Solution: Yes, a square prism can also be considered to be a cube. A square prism has a square shape at its base. However, its height may 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.

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:


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.

You can also view and download the solutions from the images provided below:

About NCERT Solutions for Class 8 Maths Ex 10.3

What is the shape of a pyramid that we have all seen? Conical! That’s correct. What about soccer? What is the football’s shape? You’d call it spherical? You’re correct once more. What are these shapes, exactly? This is a solid shape. We’re visualising solid shapes, to put it simply. As a result, you’ll learn more about visualising solid shapes in this chapter. 

NCERT Solutions for Class 8 CBSE Maths Chapter 10 introduces students to the various dimensions of forms and geometrical figures. Visualizing solid objects, views of 3d-shapes like cubes, cones, cylinders, spheres, etc., mapping space around us, and faces, edges, and vertices are just a few of the concepts covered. Visualising Solid Shapes in NCERT Solutions Class 8 Topic 10 is a fascinating and simple chapter.

Benefits of Embibe’s NCERT Class 12 Maths Solutions

Solving NCERT Class 8 Chapters can assist students in not just achieving good results on their final exam, but also in cracking a number of competitive exams. After conducting extensive research on the topic, our subject-matter experts have prepared these solutions. Let’s have a look at some of the major benefits of using the NCERT Class 8 Maths Solutions:

  1. NCERT Class 8 Maths Solutions provides a thorough understanding of the chapter and its topics.
  2. Students will understand the concepts better if the questions and answers are simplified. Hence, our experts have prepared the solutions in the most simple language. 
  3. Along with detailed explanations of answers to all the exercise questions, Embibe also provides accurate mock tests and plenty of practice questions to make students understand the concepts better.
  4. We have provided NCERT solutions in PDF format to assist those students who do not have an active internet connection all the time.
  5. In addition to solving homework for students, Embibe’s NCERT solutions will also help them clear the final exam with flying colours.

FAQs on NCERT Solutions for Visualizing Solid Shapes Exercise 10.3 Class 8 Maths:

Here are some of the frequently asked questions on NCERT Solutions for Visualizing Solid Shapes Exercise 10.3 Class 8 Maths:

Q.1: How many questions are there in NCERT Solutions for Class 8 Maths Chapter 10 Ex. 10.3?
Ans: There are a total of 8 questions in Class 8 Maths Ch 10 Ex. 10.3.

Q.2: Are questions in Exercise 10.3 of Class 8 Maths difficult?
Ans: The difficulty level of NCERT exercise questions from Class 8 Maths Chapter 10 is easy to moderate. Hence, it is advised to students that they should study it thoroughly.

Q.3: From where can I download Class 8 Maths Exercise 10.3 NCERT Solutions?
Ans: You can download NCERT Solutions for Class 8 Maths Ex. 10.3 for on Embibe. 

Q.4: What are the topics covered in Chapter 10 of the NCERT Solutions for Class 8 Maths?
Ans: Visualizing Solid Shapes chapter of Class 8 Maths consists of topics – Faces, Edges, and Vertices, and their relationship.

Also, Check,

NCERT Solutions for Class 6 MathsNCERT Solutions for Class 6 Science
NCERT Solutions for Class 7 MathsNCERT Solutions for Class 7 Science
NCERT Solutions for Class 9 MathsNCERT Solutions for Class 9 Science
NCERT Solutions for Class 10 MathsNCERT Solutions for Class 10 Science
NCERT Solutions for Class 11 MathsNCERT Solutions for Class 11 Physics
NCERT Solutions for Class 11 ChemistryNCERT Solutions for Class 12 Maths
NCERT Solutions for Class 12 PhysicsNCERT Solutions for Class 12 Chemistry

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