NCERT Solutions Class 8 Maths Chapter 10
Home > NCERT Solutions > NCERT Solutions Class 8 Maths Chapter 10

CBSE Extra Questions›

CBSE Important Questions›

CBSE Previous Year Question Papers›
 CBSE Previous Year Question Papers
 CBSE Previous Year Question Papers Class 10
 CBSE Previous Year Question Papers Class 12

CBSE Revision Notes›

CBSE Sample Papers›
 CBSE Sample Papers
 CBSE Sample Question Papers For Class 1
 CBSE Sample Question Papers For Class 10
 CBSE Sample Question Papers For Class 11
 CBSE Sample Question Papers For Class 12
 CBSE Sample Question Papers For Class 2
 CBSE Sample Question Papers For Class 3
 CBSE Sample Question Papers For Class 4
 CBSE Sample Question Papers For Class 5
 CBSE Sample Question Papers For Class 6
 CBSE Sample Question Papers For Class 7
 CBSE Sample Question Papers For Class 8
 CBSE Sample Question Papers For Class 9

CBSE Syllabus›

CUET Admit Card›
 CUET Admit Card

CUET Application Form›
 CUET Application Form

CUET Counselling›
 CUET Counselling

CUET Cutoff›
 CUET Cutoff

CUET Eligibility Criteria›
 CUET Eligibility Criteria

CUET Exam Centers›
 CUET Exam Centers

CUET Exam Dates›
 CUET Exam Dates

CUET Exam Pattern›
 CUET Exam Pattern

CUET Previous Year Question Papers›
 CUET Previous Year Question Papers

CUET Results›
 CUET Results

CUET Sample Papers›
 CUET Sample Papers

CUET Syllabus›
 CUET Syllabus

Algebra Formulas›
 Algebra Formulas

Chemistry Formulas›
 Chemistry Formulas

Geometry Formulas›
 Geometry Formulas

Math Formulas›
 Math Formulas

Physics Formulas›
 Physics Formulas

Trigonometry Formulas›
 Trigonometry Formulas

ICSE Important Questions›

ICSE Question Paper›
 ICSE Question Paper
 ICSE Class 10 Question Paper
 ISC Class 12 Question Paper

ICSE Revision Notes›
 ICSE Revision Notes
 ICSE Class 10 Revision Notes
 ICSE Class 9 Revision Notes

ICSE Sample Question Papers›
 ICSE Sample Question Papers
 ICSE Sample Question Papers For Class 10
 ICSE Sample Question Papers For Class 6
 ICSE Sample Question Papers For Class 7
 ICSE Sample Question Papers For Class 8
 ICSE Sample Question Papers For Class 9
 ISC Sample Question Papers For Class 11
 ISC Sample Question Papers For Class 12

ISC & ICSE Syllabus›

JEE Advanced Mock Test›
 JEE Advanced Mock Test

JEE Advanced Question Papers›

JEE Advanced Questions›
 JEE Advanced Questions
 JEE Advanced Chemistry Questions
 JEE Advanced Maths Questions
 JEE Advanced Physics Questions

JEE Advanced Sample Papers›
 JEE Advanced Sample Papers

JEE Advanced Syllabus›
 JEE Advanced Syllabus

JEE Main Mock Test›
 JEE Main Mock Test

JEE Main Question Papers›

JEE Main Questions›
 JEE Main Questions
 JEE Main Chemistry Questions
 JEE Main Maths Questions
 JEE Main Physics Questions

JEE Main Revision Notes›
 JEE Main Revision Notes

JEE Main Sample Papers›
 JEE Main Sample Papers

JEE Main Syllabus›
 JEE Main Syllabus
 JEE Main Chemistry Syllabus
 JEE Main Maths Syllabus
 JEE Main Physics Syllabus

NCERT Books Class 1›
 NCERT Books Class 1

NCERT Books Class 10›
 NCERT Books Class 10

NCERT Books Class 11›
 NCERT Books Class 11

NCERT Books Class 12›
 NCERT Books Class 12

NCERT Books Class 2›
 NCERT Books Class 2

NCERT Books Class 3›
 NCERT Books Class 3

NCERT Books Class 4›
 NCERT Books Class 4

NCERT Books Class 5›
 NCERT Books Class 5

NCERT Books Class 6›
 NCERT Books Class 6

NCERT Books Class 7›
 NCERT Books Class 7

NCERT Books Class 8›
 NCERT Books Class 8

NCERT Books Class 9›
 NCERT Books Class 9

NCERT Solutions Class 1›
 NCERT Solutions Class 1
 NCERT Solutions Class 1 English
 NCERT Solutions Class 1 Hindi
 NCERT Solutions Class 1 Maths

NCERT Solutions Class 10›

NCERT Solutions Class 11›
 NCERT Solutions Class 11
 NCERT Solutions Class 11 Accountancy
 NCERT Solutions Class 11 Biology
 NCERT Solutions Class 11 Chemistry
 NCERT Solutions Class 11 Commerce
 NCERT Solutions Class 11 English
 NCERT Solutions Class 11 Hindi
 NCERT Solutions Class 11 Maths
 NCERT Solutions Class 11 Physics
 NCERT Solutions Class 11 Statistics

NCERT Solutions Class 12›
 NCERT Solutions Class 12
 NCERT Solutions Class 12 Accountancy
 NCERT Solutions Class 12 Biology
 NCERT Solutions Class 12 Chemistry
 NCERT Solutions Class 12 Commerce
 NCERT Solutions Class 12 Economics
 NCERT Solutions Class 12 English
 NCERT Solutions Class 12 Hindi
 NCERT Solutions Class 12 Maths
 NCERT Solutions Class 12 Physics

NCERT Solutions Class 2›
 NCERT Solutions Class 2
 NCERT Solutions Class 2 English
 NCERT Solutions Class 2 Hindi
 NCERT Solutions Class 2 Maths

NCERT Solutions Class 3›

NCERT Solutions Class 4›

NCERT Solutions Class 5›
 NCERT Solutions Class 5
 NCERT Solutions Class 5 English
 NCERT Solutions Class 5 EVS
 NCERT Solutions Class 5 Maths

NCERT Solutions Class 6›

NCERT Solutions Class 7›

NCERT Solutions Class 8›

NCERT Solutions Class 9›

NEET Eligibility Criteria›
 NEET Eligibility Criteria

NEET Mock Test›
 NEET Mock Test

NEET Question Papers›

NEET Sample Papers›
 NEET Sample Papers

NEET Syllabus›

Andhrapradesh Board›
 Andhrapradesh Board
 AP Board Previous Year Question Paper
 AP Board Sample Question Paper
 AP Board syllabus

Maharashtra board›

RajasthanBoard›
 RajasthanBoard

Tamilnadu Board›

Telangana Board›
NCERT Solutions for Class 8 Mathematics Chapter 10 – Visualising Solid Shapes
Mathematics is necessary in daily life. It promotes logical and critical thinking skills among students in school. It provides opportunities for developing important intellectual skills in problem solving,reasoning and so on.. It demands a lot of practice while trying to enhance students’ intellectual development. However, If students find it difficult to answer tough mathematical examples ,exercises or questions, they can refer to the study material provided by Extramarks which will ensure clarity of each concept and each exercise in an easy and step by step manner to encourage a smooth and deeper understanding among students. . In fact everything a student needs to learn and grow in Mathematics is included in NCERT Solutions for Class 8 Mathematics Chapter 10.
Visualising Solid Shapes is important as it involves three dimensional objects,properties, formulas and the calculation. The chapter covers topics related to the basic configuration of twodimensional and threedimensional objects. Our NCERT Solutions for Class 8 Maths Chapter 10 are based on the 20222023 CBSE syllabus and will provide students with solved questions given in the NCERT textbook that they would require to get the best score in the examinations.
Extramarks, an online learning platform, aims to make learning Mathematics engaging and fun.It encourages them to think rationally and solve problems. The NCERT Solutions for Class 8 Mathematics Chapter 10 assist students in their exam preparation by allowing them to practise essential questions given in the NCERT textbook. Students can also use the Extramarks web portal and mobile app to access practice tests, mock tests, CBSE books, and other resources. It will ensure that even the minutest doubt is resolved and the students develop an interest in learning and mastering the topic with ease.
Key topics covered in Visualising Solid Shapes Class 8 Mathematics Chapter 10
NCERT Solutions for Class 8 Mathematics Chapter 10 provided on the Extramarks website is an excellent resource for students who want to study more effectively and get excellent grades in their exams. It will provide students with comprehensive answers to the chapter containing thorough information about each topic and each exercise covered in the chapter, allowing students to prepare effectively before the exams. In other words, effort has been made to ensure that nothing is left in the process.
The main topics covered in Class 8 Mathematics Chapter 10 are as follows:
 Introduction
 Views of 3Dshapes
 Mapping Space around Us
 Faces, Edges and Vertices
Introduction
The chapter Visualising Solid Shapes of Class 8 is part of the geometry section of Mathematics and it covers the basics of Geometry required in higher classes. The students learn to identify vertices, faces and edges of 2D and 3D objects. It also helps them know the area and volume of various solid figures. Hence, students must go through this chapter thoroughly.
You can find the entire chapter covered in detail with their solutions in the NCERT Solutions for Class 8 Mathematics Chapter 10 available on the Extramarks official website.To enjoy the maximum benefit of these resources, students just need to register themselves at Extramarks official website and stay ahead of the pack.
Views of 3D shapes
A 3D shape looks different from the different positions and angles. Based on it, different perspectives can be drawn.
For example, the front view of the hut is different from its back view, and the side view is not the same as the top view.
Similarly, the views from different positions would be different for a glass.
You can also see different views by joining the cubes.
To know more about the views of 3D shapes, you can refer to the NCERT solutions for Class 8 Mathematics Chapter 10 available on the Extramarks website.
Mapping Space around Us
A map depicts the location of one thing in relation to others.
Some important points related to the map:
 Various symbols are used to locate various objects or locations on the map.
 It shows that the location of an object will remain constant regardless of the observer’s point of view.
 When drawing a map, a specific scale is used to ensure that the lengths drawn are proportional to the distance between the source figures.
Faces, Edges and Vertex

 Faces – The faces are all the flat surfaces of the 3D objects. They meet at the line segments..
 Edges – Edges are the line segments that make up the structure of solid forms. The two faces meet at the 3D shapes’ edges.
 Vertex – The vertex is the corner point of a solid shape. The vertex is where the two edges meet. Vertices are the plural of the vertex.
 Polyhedron – The solids made up of polygonal regions, i.e. faces and edges, is called a Polyhedron.
 Convex Polyhedron – The diagonals that lie in the interior of the polygon are called a Convex Polyhedron.
 Regular Polyhedron – A polyhedron is said to be regular if its faces are made up of regular polygons, and the same number of faces meet at each vertex.
 Prism – A prism is a polyhedron whose base and top are congruent polygons and whose other faces, i.e. lateral faces, are parallelograms in space.
 Pyramid A pyramid is a polyhedron whose base is a polygon (of any number of sides) and whose lateral faces are triangles with a common vertex.
There are different types of pyramids. Some of them are listed below.
 Triangular pyramid: A triangular pyramid is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.
 Hexagonal pyramid: A hexagonal pyramid is a pyramid with a hexagonal base upon which are erected six isosceles triangular faces that meet at a point.
 Square pyramid: A square pyramid is a pyramid having a square base.
 Rectangular pyramid: If the base of a pyramid is rectangular, then it is called a rectangular pyramid.
 Euler’s formula – It depicts the relationship between a polyhedron’s edges, faces, and vertices. Every polyhedron will meet the F + V – E = 2 conditions,
Where F is the number of polyhedron faces, V is the number of polyhedron vertices, and E is the number of polyhedron edges.
Many students find it difficult to visualise and comprehend the different forms of solids. Extramarks NCERT Solutions for Class 8 Mathematics Chapter 10 provides multiple visual demonstrations of reallife examples for students to better understand the various solid forms covered above.
NCERT Solutions for Class 8 Mathematics Chapter 10 Exercises & Solutions
Extramarks is one of the best online learning platforms for students preparing for Mathematics. Our study materials have various tools and tips to quickly revise formulas, and properties , which will help students to solve the problems quickly and easily.
NCERT Solutions for Class 8 Mathematics Chapter 10 include various questions for students to practise. The detailed and wellstructured answers help students to get indepth knowledge of the chapter visualising solid shapes and, thus, develop interest to find answers and encourage them to solve more challenging questions and be confident. Students will learn the rules of visualising solid shapes of different forms to think rationally and solve problems on their own. NCERT Solutions for Class 8 Mathematics Chapter 10 are simple to comprehend for students who desire to ace their examinations. It includes solutions to all exercise questions, miscellaneous problems as well as some extra CBSE questions. Students are recommended to solve the CBSE sample papers for further practice.
Click on the links given below to gain access to the Extramarks exercises and solutions:
 Exercise 10.1: 4 Question and Answer Solutions
 Exercise 10.2: 4 Question and Answer Solutions
 Exercise 10.3: 8 Question and Answer Solutions
Students can enjoy a seamless and wholesome learning experience by choosing Extramarks. NCERT Solutions for Class 8 Mathematics Chapter 10 are written in very easy language. It has been prepared after extensive research and following CBSE Syllabus and CBSE past years’ question papers. Extramarks leaves no stone unturned while giving the best learning material to students while combining fun and learning activities through its own repository of study materials to enhance their learning experience
Extramarks platform has study solutions for all grades and subjects. Refer to the links below to get access to our NCERT Solutions study materials:
 NCERT Solutions Class 12
 NCERT Solutions Class 11
 NCERT Solutions Class 10
 NCERT Solutions Class 9
 NCERT Solutions Class 8
 NCERT Solutions Class 7
 NCERT Solutions Class 6
 NCERT Solutions Class 5
 NCERT Solutions Class 4
 NCERT Solutions Class 3
 NCERT Solutions Class 2
 NCERT Solutions Class 1
NCERT Exemplar Class 8 Mathematics Chapter 10
Extramarks help students by providing the best study tools, such as NCERT Solutions for Class 8 Mathematics Chapter 10. These assist pupils in performing well on their board exams. Extramarks NCERT Solutions for Class 8 Mathematics Chapter 10 provide students with unlimited practice questions, thorough concepts, and stepwise derivations to help them understand numerous topics related to Visualising Solid Shapes.
NCERT Exemplar’s book consists of different questions with varying levels of difficulty from easy to advanced levels for a thorough and complete preparation. . It helps students develop more interest to solve challenging questions in mathematics and get more significant insights into the chapter. It helps develop confidence during their preparation as they have solved questions from basic to advanced level to improve their preparation and help them get 100% score in their exams.
The NCERT Exemplar presents various tips , hints, and tactics for efficiently solving problems without making silly mistakes. Students can study more efficiently and enjoy their learning pattern with the help of academic notes such as NCERT Exemplar and Extramarks NCERT Solutions for Class 8 Mathematics Chapter 10
Key Features Of NCERT Solutions for Class 8 Mathematics Chapter 10
To obtain a good score in exams, revision of previous concepts is a must. Hence, NCERT Solutions for Class 8 Mathematics Chapter 10 offers a complete solution for all problems provided on Extramarks’ website.
Extramarks’ study material has the following main features:
 Extramarks NCERT Solutions for Class 8 Mathematics Chapter 10 are written by subject matter experts with years of experience in the subject.
 Includes all concepts from the CBSE syllabus and is based on the most recent NCERT 202223 pattern. Students will get detailed and authentic solutions without having to look anywhere else.
 The answers present extensive and pertinent information clearly and in an easy to understand manner. .
 It assists students in reinforcing their fundamentals, making it easier for them to comprehend more complicated themes.
 Time management, problemsolving, and analytical skills can all be developed by students.
Q.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.
Ans
Q.2 For each of the given solid, the three views are given. Identify for each solid the corresponding top,
front and side views.
Ans
Q.3 For each given solid, identify the top view, front view and side view.
Ans
Q.4 Draw the front view, side view and top view of the given objects.
Ans
Q.5 Look at the given map of a city.
Answer the following.
 Colour the map as follows: Bluewater, redfire station, orangelibrary, yellow – schools, Green – park, Pink – College, Purple – Hospital, Brown – Cemetery.
 Mark a green ‘X’ at the intersection of Road ‘C’ and Nehru Road, Green ‘Y’ at the intersection of Gandhi Road and Road A.
 In red, draw a short street route from Library to the bus depot.
 Which is further east, the city park or the market?
 Which is further south, the primary school or the Sr. Secondary School?
Ans
 Between the Market and the City Park, the City Park is further east.
 Between the Primary School and the Sr. Secondary School, the Sr. Secondary School is further south.
Q.6 Draw a map of your class room using proper scale and symbols for different objects.
Ans
Q.7 Draw a map of your school compound using proper scale and symbols for various features like play ground main building, garden etc.
Ans
Q.8 Draw a map giving instructions to your friend so that she reaches your house without any difficulty.
Ans
Q.9 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.10 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.11 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.12 (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.13 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.14 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.15 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.16 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.
For viewing question paper please click here
FAQs (Frequently Asked Questions)
You can find NCERT Solutions for Class 8 Mathematics Chapter 10 on the Extramarks’ website, along with study material, revision notes, questions to practice, and mock tests, which will help you improve your performance and improve your overall score in the class.
One should practise mathematics problems daily to score more in Class 8 Mathematics Chapter 10 Solutions. You can find problems to practise as well as various extra questions, resources and books on our website and step up your grades in exams..
A cuboid is a closed threedimensional shape with six faces, twelve edges, and eight vertices. All of its faces are rectangles.
Fill this form to view question paper
OTP Verification