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RS Aggarwal Solutions Class 8 Chapter-4 Cubes and Cube Roots (Ex 4A) Exercise 4.1

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Last updated date: 23rd May 2024
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RS Aggarwal Solutions Class 8 Chapter-4 Cubes and Cube Roots (Ex 4A) Exercise 4.1 - Free PDF

Mathematics is one of the most important subjects that not only decides the mark of the student but also enhances the ability of analytical and rational thinking. But most of the students find it hard. This is because the students are lacking in their concepts. To solve the conceptual gap of students, it is strongly suggested for students to go for RS Aggarwal Solutions for Class 8. It is one of the best reference books for Mathematics across various boards across India. It covers all the chapters based on the updated syllabus released by CBSE board.

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Chapter 4 - Cubes and Cube Roots

RS Aggarwal Solutions Chapter 4 of Class 8 Mathematics deals with Cubes and Cube Roots. It is one of the most important chapters for Class 8. The Cube of a number is defined as the process of multiplying a number by itself three consecutive times. For Example, Cube of 3 is 3³, which is 27.

The Cube root of a number is defined as a value on getting multiplied by itself three consecutive times that gives the original value. For Example, Cube root of 27 is ∛27, which is 3. In this chapter you will learn about cube roots of numbers, perfect cubes, properties of cubes and cube roots, cubes of even and odd numbers, finding cubes using the shortcut method, finding cubes of fractional numbers and finding perfect cube using multiplication and division. This chapter consists of 42 questions and 4 exercises (Exercise- 4A, 4B, 4C, 4D).

Exercise 4A consists of 10 questions, where odd or even numbers of cubes is to be evaluated. To learn these concepts in an easy manner with in-depth understanding, 

Conclusion

Vedantu provides RS Aggarwal Solution for Class 8 Chapter 4- Squares and Square Roots, (Ex- 4A) Exercise 4.1- PDF for free. You can download the solution for reference and practice.

FAQs on RS Aggarwal Solutions Class 8 Chapter-4 Cubes and Cube Roots (Ex 4A) Exercise 4.1

1. Where can I find the RS Aggarwal Solutions Class 8 Chapter-4 Cubes and Cube Roots (Ex 4A) Exercise 4?

You can find the RS Aggarwal Solution for Class 8 reference e-book from Vedantu, here you can get access to study materials for Maths, Science, English, Hindi, and Social Science. It provides NCERT solutions, RS Aggarwal solutions, previous year solved question papers, revision notes, syllabus, and sample mock question papers in pdf format. These study materials can be downloaded and can be used for learning purposes offline too. Every study material has been solved by the expert teachers and the content is delivered in such a way to simplify the efforts of students to have a hassle-free learning experience.

2. What are the important chapters for Class 8 Mathematics for the exam?

Students need to understand the important chapters and weightage of the chapters, before starting to prepare your study plan. So, they cannot skip the important portions of the subject.

Following are some of the important chapters based on the weightage of marks in the exam.

  • Linear Equations in One Variable - 12 marks 

  • Rational Numbers - 12 marks

  • Understanding Quadrilaterals - 14 marks

  • Playing with numbers - 6 marks 

  • Square and square roots, cube and cube roots - 22 marks

  • Comparing quantity - 14 marks

3. What are the important topics to learn from RS Aggarwal solution of Chapter 4 from Class 8?

Cubes and cube roots of numbers, perfect cubes, properties of cubes and cube roots, cubes of even and odd numbers, finding cubes using the shortcut method, finding cubes of fractional numbers, and finding perfect cubes using multiplication and division are some of the important topics to study from RS Aggarwal Chapter 4 (Cubes and Cube Roots) of Class 8. All these topics from this chapter along with chapter 3 squares and square roots consist of 22 marks in the examination as regulated by the CBSE Board.

4. What are the properties of Cube and Cube Roots according to RS Aggarwal Solutions Class 8 Chapter-4 Cubes and Cube Roots (Ex 4A) Exercise 4?

To solve the exercise questions of this chapter easily, one must learn certain properties of cubes and cube roots. These properties include:

  • The cube of an even number will always be even and the cube of an odd number will always be odd.

  • If a number has 0, 1, 4, 5, 6, or 9 at its units-place then, its cube will also have 0, 1, 4, 5, 6, or 9 at its unit place respectively.  

  • If a number has 2 in its units-place then its cube will have 8 in its units-place and vice versa. 

  • If a number has 3 in its units-place then its cube will have 7 in its units-place and vice versa. 

  • You can find the cube of a number using the identity:  (a+b)³ = a³ + 3a²b +3ab² + b³

5. What are the advantages of choosing Vedantu for RS Aggarwal Solutions Class 8 Chapter-4 Cubes and Cube Roots (Ex 4A) Exercise 4?

The following are some of the advantages of choosing Vedantu:

  • Vedantu is one of the most trusted online educational platforms. It has the best teachers across the country. It is flexible for students. For instance, If a student prefers tutoring only maths, he/she can choose only math. 

  • You can choose your teacher from whom you want to learn. Before choosing a teacher you can check the teacher’s record and choose the best teacher to guide and tutor you. If you don’t like the class, you can learn from another teacher without any extra fees. You can learn from LIVE classes anytime & anywhere.

  • If you choose online tuition, you are given access to various, valuable online resources such as NCERT solutions, RS Aggarwal solutions, previous year question papers, revision notes, etc.