NCERT Solutions Class 8 Maths Chapter 10 Exercise 10.3
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NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes (EX 10.3) Exercise 10.3
For CBSE students, the solutions to Class 8 Maths Exercise 10.3 are easily downloadable. They may study even when not connected to the internet by downloading the NCERT Solutions For Class 8 Maths Chapter 10 Exercise 10.3 in PDF format from the Extramarks website or mobile application. The Class 8 Maths Chapter 10 Exercise 10.3 is an easy exercise to solve once students understand the concept behind it. The Class 8 Maths Exercise 10.3 Solution can be downloaded from the Extramarks website in PDF format for offline access.
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Human intellect and reasoning are fundamentally based on Mathematics, which is also essential to our efforts to understand the outside world and ourselves. Mathematics promotes logical thinking and mental discipline and is a useful method for developing the strength of the mind. Additionally, comprehending Mathematics is essential for learning other academic disciplines like Physics, Social Studies, and even Music and Art. Therefore, one should always solve Mathematics and NCERT Solutions For Class 8 Maths Chapter 10 Exercise 10.3 will give a path to understanding it better. One essential characteristic of individuals leading more productive lives as responsible, constructive, and thoughtful citizens is mathematical literacy. Basic computational skills, quantitative thinking, spatial reasoning, and other abilities are considered to be part of mathematical literacy.
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Access NCERT Solution for Class 8 Maths Chapter 10 – Visualising Solid Shapes
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NCERT Solutions for Class 8 Maths Chapter 10 Visualising Solid Shapes Exercise 10.3
The NCERT Solutions For Class 8 Maths Chapter 10 Exercise 10.3 covers the notion of Polyhedrons is explained in Visualizing Solid Shapes. Polyhedrons are solids made up of Polygonal areas called “faces” that converge at “edges.” These “vertices,” or points, are where these line segments, or “edges,” converge. Convex and regular Polyhedron types as well as others, have been discussed. Students will learn about the link between the vertices, edges, and faces of a Polyhedron with the use of Euler’s formula in NCERT Solutions For Class 8 Maths Chapter 10 Exercise 10.3. The main lesson to be learned from this section is that the Polyhedron family is made up mostly of Prisms and Pyramids. All these ideas are covered in the NCERT Solutions For Class 8 Maths Chapter 10 Exercise 10.3.
NCERT Solutions for Class 8
The NCERT Solutions for Class 8 Mathematics provide answers to every question from the textbook, which the CBSE Board mandates. The offered syllabuses for all courses are solely based on the NCERT curriculum. Thus, students will surely have a chance to succeed if they use NCERT Solutions to study for exams. To make it simpler for students to approach the problems, Extramarks developed the NCERT Class 8 Solutions for Mathematics. The CBSE Class 8 Solutions for Mathematics offered here comprise well-planned exercises and comprehensive explanations organised by qualified teachers, substantially streamlining the process of learning and understanding subjects. The NCERT Solutions For Class 8 Maths Chapter 10 Exercise 10.3 are also available to students. They can find notes, important topics, and sample questions for NCERT Solutions For Class 8 Maths Chapter 10 Exercise 10.3. Students can access past years’ papers and get help with their solutions with the NCERT Solutions For Class 8 Maths Chapter 10 Exercise 10.3.
All the other chapters’ NCERT solutions for Class 8 are also available on Extramarks’ website and mobile application.
Chapter 1 Rational Numbers
Chapter 2 Linear Equation
Chapter 3 Understanding Quadrilaterals
Chapter 4 Applied Practical Geometry
Chapter 5 About Data Handling
Chapter 6 Square Square Roots
Chapter 7 Cube And Cube Roots
Chapter 8 Comparing Quantities
Chapter 9 Algebraic Expressions And Identities
Chapter 10 Visualizing Solid Shapes
Chapter 11 Mensuration
Chapter 12 Exponents And Powers
Chapter 13 Direct Inverse Proportions
Chapter 14 Factorisation
Chapter 15 Introduction To Graphs
Chapter 16 Playing With Number
Q.1 Can a polyhedron have for its faces
(i) 3 triangles?
(ii) 4 triangles?
(iii) a square and four triangles?
Ans
(i) No, such a polyhedron is not possible. A polyhedron has minimum 4 faces.
(ii) Yes, a triangular pyramid has 4 triangular faces.
(iii) Yes, a square pyramid has a square face and 4 triangular faces.
Q.2 Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid).
Ans
Yes, it is possible, if a polyhedron has minimum of 4 faces
Q.3 Which are prisms among the following?
Ans
(i) It is not a polyhedron as it has a curved surface. Therefore, it will not be a prism also.
(ii) It is a prism.
(iii)Since the faces are triangular, so it is a pyramid. Hence, it is not a prism
(iv) It is a prism.
Q.4 (i) How are prisms and cylinders alike?
(ii) How are pyramids and cones alike?
Ans
(i) A prism that has a circle as its base can be thought of as a circular prism.
(ii) A pyramid that has a circle as its base can be thought of as a circular pyramid.
Q.5 Is a square prism same as a cube? Explain.
Ans
A square prism has a square as its base. Its height is not necessarily same as the side of the square. Thus, it is not necessary that always a square prism is same as a cube. It can be cuboid also.
Q.6 Verify Euler’s formula for these solids.
Ans
The Euler’s formula F+V–E = 2
(i) Number of faces = F = 7
Number of vertices = V = 10
Number of edges = E = 15
We have, F + V − E = 7 + 10 − 15
= 17 − 15
= 2
Hence, verified.
(ii) Number of faces = F = 9
Number of vertices = V = 9
Number of edges = E = 16
F + V − E = 9 + 9 − 16
= 18 − 16
= 2
Hence, verified.
Q.7 Using Euler’s formula find the unknown.
| Faces | ? | 5 | 20 |
| Vertices | 6 | ? | 12 |
| Edges | 12 | 9 | ? |
Ans
By Euler’s formula, we have F + V − E = 2
(i) F + 6 − 12 = 2
F − 6 = 2
F = 8
(ii) 5 + V − 9 = 2
V − 4 = 2
V = 6
(iii) 20 + 12 − E = 2
32 − E = 2
E = 30
Thus, the table can be completed as:
| Faces | 8 | 5 | 20 |
| Vertices | 6 | 6 | 12 |
| Edges | 12 | 9 | 30 |
Q.8 Can a polyhedron have 10 faces, 20 edges and 15 vertices?
Ans
Number of faces = F = 10
Number of edges = E = 20
Number of vertices = V = 15
By using Euler’s Formula, we can find whether a polyhedron satisfies the given conditions.
Therefore, we have, F + V − E = 2
But, F + V − E = 10 + 15 – 20
= 25 – 20
= 5 ≠ 2
Since Euler’s formula is not satisfied, such a polyhedron is not possible.
FAQs (Frequently Asked Questions)
1. Is it helpful to download NCERT Solutions For Class 8 Maths Chapter 10 Exercise 10.3?
Yes, without a doubt, downloading the NCERT Solutions For Class 8 Maths Chapter 10 Exercise 10.3 is very beneficial because they are topic-wise notes and solutions to NCERT questions, so students do not have to worry about anything and they only have to focus on studying minutely and at the end, they will be able to solve all their confusions.
2. Why are NCERT Solutions Chapter are important?
With the help of real-world examples, NCERT Solutions Class 8 Maths Chapter 10 teaches students how to understand sequences in the most basic way possible. The content in NCERT solutions is compiled by experts and is also recommended by the CBSE board, making them extremely important. Furthermore, the likelihood of questions from these NCERT solutions appearing in exams is high.
3. Are the NCERT Solutions For Class 8 Maths Chapter 10 Exercise 10.3 written topic-wise according to the NCERT book of Maths?
Yes, NCERT Solutions For Class 8 Maths Chapter 10 Exercise 10.3 are written topic-by-topic in accordance with the NCERT Mathematics book. The experts always ensure that NCERT books remain at the centre of their study material so that students can easily find it in the book after reading the NCERT Solutions For Class 8 Maths Chapter 10 Exercise 10.3.
