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November 19, 2024Exercise 4.1 Class 8 Maths NCERT Solutions: Students of CBSE Class 8 can find the NCERT Solutions for Class 8 Chapter 4 exercise 4.1 in this article. NCERT Solutions for Class 8 Maths are crucial in the preparation for CBSE Class 8 final exam to ensure that students score great marks in the exam.
Experts at Embibe have crafted the NCERT Solutions for Chapter 4 Ex 4.1 Class 8 featuring updated and detailed information about concepts in a manner that is easy to understand for students. Constant practice can work wonders for students when it comes to textbook exercises included in the NCERT solutions for Practical Geometry and other challenging chapters in the Maths textbook. In this article, we have included the NCERT Solutions for Class 8 Chapter 4 exercise 4.1 Maths in PDF format that students can download and study offline. Read further to learn more!
Studying with NCERT Class 8 Maths Solutions in PDF form allows students to study and practice exercise questions offline anytime and anywhere. NCERT Solutions to Practical Geometry prepared by experts at Embibe are based on the latest guidelines issued by CBSE. An outlook of the NCERT Solutions for Practical Geometry chapter is included in the table below:
Class | Class 8 |
Chapter Name | Practical Geometry |
Exercise Number | Ex 4.1 |
Topic Name | Introduction to Practical Geometry |
Language | English |
Solution Type | In-text Solved Questions |
Official Website | https://ncert.nic.in/ |
NCERT textbooks for CBSE Class 8 Maths are the first and best place to start preparing for the exam effectively through detailed in-text questions. The core objective of studying with the NCERT books is to understand all the concepts in the chapter.
Embibe has provided the NCERT Solutions for Class 8 Maths Chapter 4 for students to start practicing the concepts right away and crack the exam with full marks. NCERT Solutions for Maths Class 8 are made available in PDF format so that students can refer to them offline, and it is easier to search within the document easily. Ideally, students should bookmark and save the link to these NCERT solutions for later reference.
There is a wide array of advantages when referring to Embibe’s Class 8 Maths NCERT Solutions in PDF file form. We have listed a few benefits of studying from NCERT Solutions by Embibe below:
The Practical Geometry chapter in Class 8 Maths lays down the foundation for Geometry by teaching how to construct Quadrilaterals with the help of given measurements. Students will need simple geometry tools such as a compass, protractor, scale and a pencil to construct quadrilaterals when different variables are provided.
For instance, students will learn how to construct quadrilaterals when the following combination of variables is provided:
• When four sides and one diagonal are given.
• When two diagonals and three sides are given.
• When two adjacent sides and three angles are given.
• When three sides and two included angles are given.
• When other special properties are known.
While 5 types of measurements are required to construct quadrilaterals, there are special cases wherein it is possible to construct quadrilaterals with the help of less than 5 variables such as squares and rhombuses. It is possible to construct a square with merely 1 measurement and a rhombus with 2 measurements.
It is important to refer to the list of important formulae for the chapter while practising the textbook exercise solutions. The list of important formulae for Practical Geometry Class 8 Maths is included in the table below:
Name of the Solid | Lateral / Curved Surface Area | Total Surface Area | Volume |
Cuboid | 2h(l+b) | 2(lb+bh+hl) | lbh |
Cube | 4a2 | 6a2 | a3 |
Right Prism | Perimeter of base × height | Lateral Surface Area + 2(Area of One End) | Area of Base × Height |
Right Circular Cylinder | 2πrh | 2πr(r+h) | πr2h |
Right Pyramid | ½ × Perimeter of Base × Slant Height | Lateral Surface Area + Area of the Base | ⅓ × (Area of the Base) × height |
Right Circular Cone | πrl | πr(l+r) | ⅓ × πr2h |
Sphere | 4πr2 | 4πr2 | 4/3 × πr3 |
Hemisphere | 2πr2 | 3πr2 | 2/3 × πr3 |
Some additional formulae are included below:
Geometric Area | Geometric Area Formula |
Square | a2 |
Rectangle | a × b |
Circle | πr2 |
Ellipse | πr1r2 |
Triangle | ½ × b × h |
Some of the commonly asked questions related to NCERT Solutions for Practical Geometry Chapter 4 Ex 4.1 Class 8 Maths have been answered below:
Q.1: How many exercises are there in the CBSE Class 8 Maths Practical Geometry chapter?
Ans: There are a total of 5 exercises in the CBSE Class 8 Maths Practical Geometry chapter?
Q.2: Where can I find the solution set for NCERT Solutions for Class 8 Maths Chapter 4?
Ans: Embibe offers PDF of solution sets for all the exercises from NCERT Class 8 Maths for.
Q.3:What is the name of CBSE Class 8 Maths Chapter 4?
Ans:The name of CBSE Class 8 Maths Chapter 4 is Practical Geometry.
Q.4: How many variables or measurements are required to construct a quadrilateral?
Ans: While 5 measurements are ideally required to construct a quadrilateral, there are 2 special cases wherein it is possible to construct a quadrilateral with 1 or 2 measurements. When it comes to a square, it is possible to construct one with just a single measurement for one of its sides. The other exception is a rhombus, which requires the measurement of 2 sides in order to construct a rhombus.
Q.5: How will NCERT Solutions for Class 8 Maths Chapter 4 Exercise 4.1 help me ace the CBSE Class 8 exams?
Ans: By referring to NCERT Solutions Class 8 Maths Chapter 4 Exercise 4.1, students can get accurate solutions to all the different kinds of sums and questions that cover the concepts in the chapter concisely. Achieving concept clarity and doing regular practice can help attain the desired clarity and confidence to ace the exam.
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