Skip to content
utopper
  • Free Study MaterialExpand
    • Ncert BooksExpand
      • Class 12 Ncert Books
      • Class 11 Ncert Books
      • Class 10 Ncert Books
      • Class 9 Ncert Books
      • Class 8 Ncert Books
      • Class 7 Ncert Books
      • Class 6 Ncert Books
      • Class 5 Ncert Books
      • Class 4 Ncert Books
      • Class 3 Ncert Books
      • Class 2 Ncert Books
      • Class 1 Ncert Books
    • Previous Year Question PapersExpand
      • Class 12
      • Class 10
      • JEE Main
      • JEE Advanced
      • NEET
    • CBSE Lab ManualExpand
      • Class 12 Lab Manual
      • Class 11 Lab Manual
      • Class 10 Lab Manual
      • Class 9 Lab Manual
    • CBSE Revision NotesExpand
      • Class 12 Notes
      • Class 11 Notes
      • Class 10 Notes
      • Class 9 Notes
      • Class 8 Notes
      • Class 7 Notes
      • Class 6 Notes
    • CBSE Important QuestionsExpand
      • Class 12 Questions
      • Class 11 Questions
      • Class 10 Questions
      • Class 9 Questions
      • Class 8 Questions
      • Class 7 Questions
      • Class 6 Questions
    • CBSE Sample PapersExpand
      • Class 9 Sample Paper
      • Class 8 Sample Paper
      • Class 7 Sample Paper
      • Class 6 Sample Paper
  • Reference Book SolutionsExpand
    • RD Shamra Solutions
    • RS Aggarwal Solutions
    • HC Verma Solutions
utopper

RS Aggarwal Class 8 Solutions Chapter 4

RS Aggarwal Solutions for Class 8 Chapter 4 – Cubes and Cube Roots PDF

RS Aggarwal Class 8 Maths Solutions Chapter-wise – Free PDF Download

Your questions on RS Aggarwal Class 8 Solutions Chapter 4, “Cubes and Cube Roots,” will be quickly answered. The cubes of even and odd numbers, the shortcut method for finding cubes, finding cubes of fractional numbers, and finding perfect cubes using multiplication and division are some of the topics covered in this chapter of RS Aggarwal Class 8 Solutions. 42 questions and 4 exercises are included in this chapter.

Due to the numerous calculations required by their questions, it is crucial to practice the concepts of cubes and cube roots. You will find it easier to answer these questions in the tests the more you practice them. For higher grades, it’s also crucial to get all of your questions about cubes and cube roots answered because doing so will help you comprehend the ideas behind polynomials.

All of the tasks in RS Aggarwal Class 8 Solutions Chapter 4 “Cubes and Cube Roots” have clear, comprehensive, and step-by-step solutions provided by our subject matter experts. You can make use of these solutions as needed to catch up where you are falling short in this chapter. Here, we’ve also included a brief explanation of the key ideas in RS Aggarwal Class 8 Solutions Chapter 4, “Cubes and Cube Roots,” as well as a list of exercises.

Utopper is a website where students can get free NCERT Solutions and other study materials like Revision notes, Sample papers, and Important Question class 8. Science and Maths will be easier to learn if you have access to RS Aggarwal Solutions for Class 8 and solutions for other classes.

Click Here – To Buy/Purchase RS Aggarwal Class 8 Solutions Online

RS Aggarwal Class 8 Solutions Chapter 4 – Cubes and Cubes Roots

RS Aggarwal Class 8 Solutions Chapter 4
RS Aggarwal Class 8 Solutions

Chapter-1 Rational Numbers

Chapter-2 Exponents

Chapter-3 Squares and Square Roots

Chapter-4 Cubes and Cube Roots

Chapter-5 Playing with Numbers

Chapter-6 Operations on Algebraic Expressions

Chapter-7 Factorisation

Chapter-8 Linear Equations

Chapter-9 Percentage

Chapter-10 Profit and Loss

Chapter-11 Compound Interest

Chapter-12 Direct and Inverse Proportions

Chapter-13 Time and Work

Chapter-14 Polygons

Chapter-15 Quadrilaterals

Chapter-16 Parallelograms

Chapter-17 Construction of Quadrilaterals

Chapter-18 Area of a Trapezium and a Polygon

Chapter-19 Three-Dimensional Figures

Chapter-20 Volume and Surface Area of Solids

Chapter-21 Data Handling

Chapter-22 Constructing and Interpreting Bar Graphs

Chapter-23 Pie Charts

Chapter-24 Probability

Chapter-25 Graphs

RS Aggarwal Solutions

RS Aggarwal Class 6 Solutions

RS Aggarwal Class 7 Solutions

RS Aggarwal Class 8 Solutions

RS Aggarwal Class 9 Solutions

RS Aggarwal Class 10 Solutions

RS Aggarwal Class 11 Solutions

RS Aggarwal Class 12 Solutions

Best RS Aggarwal Class 8 Solutions Chapter 4 Cube and Cube Roots

Here are all the answers to Chapter 4 of the eighth-grade math textbook, “Cubes and Cube Roots.” You can evaluate your knowledge of the ideas and level of preparation by going over the questions from the RS Aggarwal textbook. You can also use the links below to access exercise-specific solutions. Students may now sign up for online lessons with our Master teachers to help with this RS Aggarwal Solutions Class 8 Chapter 4 comprehension and resolve the concerns. Our Master professors at Utopper have created the best and most dependable study materials.

Information on cubes and cube roots

In daily mathematics, such as powers and exponents or to find a three-dimensional cube’s side when its volume is known, cubes and cube roots are used. Numerous exercise problems are understood in this PDF of RS Aggarwal Solutions for Class 8 Chapter 4, which enhances awareness of the ideas. Additionally, the Maths RS Aggarwal Class 8 Solutions Chapter 4 provided here will assist you in developing critical thinking skills and familiarity with a variety of problem-solving techniques.

Cubes

Cube numbers or perfect cubes are the results of multiplying a number three times by itself. Examples include: 1, 8, 27,…, etc.

  • The natural number m’s cube is represented by the symbol m3, and its expression is m3 = m x m x m.
  • Thus, 1³ = 1 × 1 × 1 = 1
  • 2³ = 2 × 2 × 2 = 8
  • 3³ = 3 × 3 × 3 = 27, and so on.
Some Interesting Patterns

Any integer is a perfect cube if, when it is divided into its prime factors, each prime factor appears three times.

As an example, the number 216 = 2 x 2 x 2 x 3 x 3 x 3 = 23 x 33 = (2 x 3)3 = 63, which is a complete cube.

  • The smallest multiple that is a perfect cube
  • Typically, in order to transform a number into a perfect cube, we must determine the smallest natural number by which it may be multiplied or divided.
Cube Roots

Finding the cube is simply the inverse operation of finding the cube root.

  • The cube root of 8 is 23 =  8.
  • The cube root is represented by the symbol. Thus,∛8 = 2
How to find a cube number’s cube root
  • Obtain the specified number. Starting with the digit on the right side of the number, begin creating groups of three digits.
  • The relevant cube root (unit) digit will be provided by the first group.
  • Take the following parties then. Find the closest cube numbers that contain this group. Replace the lower value with one and the necessary cube root with ten.
Cubes and Cube Roots Exercise Discussion for RS Aggarwal Class 8 Solutions Chapter 4
  • Ten questions in Exercise 4A of RS Aggarwal Class 8 Solutions Chapter 4 “Cubes and Cube Roots” ask you to determine whether the provided cubes are even or odd in number. There are also inquiries concerning flawless cubes.
  • There are only 4 questions in Exercise 4B that require you to use the identity (a + b)3 = a3 + 3a2b + 3ab2 + b3 to determine the cube of a given number.
  • There are 18 problems in Exercise 4C that require you to use prime factors to get the cube root of given numbers.
  • 10 questions in Exercise 4D deal with perfect cubes, the prime factorization method, and fractional number cubes. In comparison to the NCERT Class 8 Maths Chapter on “Cubes and Cube Roots,” the exercise questions in RS Aggarwal Class 8 Solutions Chapter 4 “Cubes and Cube Roots” are a little bit more challenging. 
rs aggarwal class 8 solutions

FAQ ( Frequently Asked Questions )

1. How important is RS Aggarwal Class 8 Solutions Chapter 4 Cube and Cube Roots?

Ans – Students with strong cube and cube root skills can solve challenging higher order problems in Upcoming classes.

2. How can I get the free RS Aggarwal Class 8 Solutions Chapter 4?

Ans – On the website of Utopper, students can obtain free access to RS Aggarwal Class 8 solutions chapter 4. It offers free PDF files on many mathematics topics.

3. What are some of the key points discussed in the RS Aggarwal Class 8 Solutions Chapter 4 Cubes and Cube Roots?

Ans – The following are some of the key subjects that are addressed in the RS Aggarwal Class 8 Solutions Chapter 4 Cubes and Cube Roots:

  • Concept of cube roots
  • Cube number concept
  • Using the prime factorization method, find the cube root

To ensure that the students fully comprehend the ideas presented in Chapter 4’s Cubes and Cube Roots, each of these subjects is discussed in great detail. You not only obtain explanations of these crucial subjects, but also a number of examples that make it easier for you to practice these subjects.

4. Why should I use Utopper to reference Chapter 4 of the RS Aggarwal Solutions for Class 8?

Ans – Utopper offers top-notch mathematics coursework and some of the best math instructors in the nation. Therefore, a couple of the top math teachers offer students an expert solution when they consult RS Aggarwal Solutions Class 8 Chapter 4. 

  • Facebook
  • Instagram
  • YouTube
  • LinkedIn
  • Telegram
  • Twitter

Mail : [email protected]
(Mon-Sun: 9am – 11pm IST )
—————————
PRIVACY POLICY
TERMS AND CONDITIONS
CONTACT US
DISCLAIMER

Shipping & Delivery Policy

NCERT

Quick Links

About Us

Contact Us

Utopper Blogs

CBSE

ICSE

Puzzle

IIT JEE

JEE Advanced

Download The APP Now

NCERT

NCERT Solutions

NCERT Solutions For Class 12

NCERT Solutions For Class 12 Maths

NCERT Solutions For Class 12 Physics

NCERT Solutions For Class 12 Chemistry

NCERT Solutions For Class 12 Biology

NCERT Solutions For Class 12 Business Studies

NCERT Solutions For Class 12 Economics

NCERT Solutions For Class 12 Accountancy

NCERT Solutions For Class 11

NCERT Solutions For Class 11 Maths

NCERT Solutions For Class 11 Physics

NCERT Solutions For Class 11 Chemistry

NCERT Solutions For Class 11 Biology

NCERT Solutions For Class 11 Business Studies

NCERT Solutions For Class 11 Economics

NCERT Solutions For Class 11 Accountancy

NCERT Solutions For Class 10

NCERT Solutions For Class 10 Maths

NCERT Solutions For Class 10 Science

NCERT Solutions For Class 10 English

NCERT Solutions For Class 10 Social Science

NCERT Solutions For Class 9

NCERT Solutions For Class 9 Maths

NCERT Solutions For Class 9 Science

NCERT Solutions For Class 9 English

NCERT Solutions For Class 9 Social Science

NCERT Solutions For Class 8

NCERT Solutions For Class 8 Maths

NCERT Solutions For Class 8 Science

NCERT Solutions For Class 8 English

NCERT Solutions For Class 8 Social Science


NCERT Books

NCERT Books For Class 12

NCERT Books For Class 11

NCERT Books For Class 10

NCERT Books For Class 9

NCERT Books For Class 8

NCERT Books For Class 7

NCERT Books For Class 6

NCERT Books For Class 5

NCERT Books For Class 4

NCERT Books For Class 3

NCERT Books For Class 2

NCERT Books For Class 1

NCERT Books Class 12

NCERT Books Class 12 Maths

NCERT Books Class 12 Physics

NCERT Books Class 12 Chemistry

NCERT Books Class 12 Biology

NCERT Books Class 12 Geography

NCERT Books Class 11

NCERT Books Class 11 Maths

NCERT Books Class 11 Physics

NCERT Books Class 11 Chemistry

NCERT Books Class 11 Biology

NCERT Books Class 11 Political Science

NCERT Books Class 10

NCERT Books Class 10 Maths

NCERT Books Class 10 Science

NCERT Books Class 10 English

NCERT Books Class 10 Hindi

NCERT Books Class 10 Sanskrit

NCERT Books Class 10 Social Science

NCERT Books Class 9

NCERT Books Class 9 Maths

NCERT Books Class 9 Science

NCERT Books Class 9 English

NCERT Books Class 9 Social Science

NCERT Books Class 8

NCERT Books Class 8 Maths

NCERT Books Class 8 Science

NCERT Books Class 8 English

NCERT Books Class 8 Hindi

NCERT Books Class 8 Sanskrit

NCERT Books Class 8 Social Science

NCERT Books Class 7

NCERT Books Class 7 Maths

NCERT Books Class 7 Science

NCERT Books Class 7 English

NCERT Books Class 7 Social Science

NCERT Books Class 6

NCERT Books Class 6 Maths

NCERT Books Class 6 Science

NCERT Books Class 6 English

NCERT Books Class 6 Hindi

NCERT Books Class 6 Sanskrit

NCERT Books Class 6 Social Science

NCERT Books Class 5

NCERT Books Class 5 Maths

NCERT Books Class 5 English

NCERT Books Class 5 Hindi

NCERT Books Class 5 EVS

NCERT Books Class 5 Aas Pass

NCERT Books Class 5 Ganit Ka Jadu

NCERT Books Class 4

NCERT Books Class 4 Maths

NCERT Books Class 4 English

NCERT Books Class 4 Hindi

NCERT Books Class 4 EVS

NCERT Books Class 4 Aas Pass

NCERT Books Class 4 Ganit Ka Jadu

NCERT Books Class 3

NCERT Books Class 3 Maths

NCERT Books Class 3 English

NCERT Books Class 3 Hindi

NCERT Books Class 3 EVS

NCERT Books Class 3 Aas Pass

NCERT Books Class 3 Ganit Ka Jadu


NCERT Books Class 2

NCERT Books Class 2 Maths

NCERT Books Class 2 English

NCERT Books Class 2 Hindi

NCERT Books Class 1

NCERT Books Class 1 Hindi

NCERT Books Class 1 Maths

NCERT Books Class 1 English

NCERT Exemplar

NCERT Exemplar Class 12

NCERT Exemplar Class 11

NCERT Exemplar Class 10

NCERT Exemplar Class 9

NCERT Exemplar Class 8

NCERT Exemplar Class 7

NCERT Exemplar Class 6

CBSE Important Questrion

Class 12 Important Question

Class 11 Important Question

Class 10 Important Question

Class 9 Important Question

Class 8 Important Question

Class 7 Important Question

Class 6 Important Question

Revision Notes

CBSE Class 12 Notes

CBSE Class 11 Notes

CBSE Class 10 Notes

CBSE Class 9 Notes

CBSE Class 8 Notes

CBSE Class 7 Notes

CBSE Class 6 Notes

CBSE

CBSE Syllabus

CBSE Sample Paper

CBSE Lab Manual

CBSE Topper Answer Sheet

Previous Year Question Papers Class 12

Previous Year Question Papers Class 10

REFERENCE BOOK SOLUTION

RS AGGARWAL SOLUTION

RD SHARMA SOLUTION

HC VERMA SOLUTION

STATE BOARD BOOKS

Tamilnadu Board

Karnataka Board

AP Board

MP Board

Gujarat Board

Punjab Board

Bihar Board

Odisha Board

Rajasthan Board

Chhattisgarh Board

WB Board

Maharashtra Board

ICSE Board

What Make UTOPPER Best In Digital Education

We Provide Digital video content from 6th to 10th in both English + Hindi language to School with upgraded ERP system with fully Scheduled Teaching plan. We Also Provide self-learning and self-guided Online learning course to the Students at home. It upgrades the intrigue levels and the maintenance intensity of the students. Critical concepts are also being developed and packaged using multimedia based digital solutions. We also provide marketing services to Schools, startups and small businesses looking for a partner for their digital media. We work with you, not for you.

We provide the Complete Yearly, Monthly , Day wise Teaching Plan to Teachers to save their time in thinking what to teach. Utopper has designed the Largest Content Portal that Contain NCERT Books , NCERT Solutions are available on Utopper.com. We serve the extraordinary adapting needs and examples of each child, with information to create the learning encounter and tweak therapeutic classes dependent on evaluation.

© 2023 Utopper.com

All Rights Reserved with Copyright & Registered TradeMarks
OWNED BY : GROWTH EDUCATION SOLUTIONS PRIVATE LIMITED

Download Class 12 Sample Paper Free

Enter your details below and direct download

Enter Name
Enter your email address
Enter Mobile Number
Enter your city name
Download Class 10 Sample Paper Free

Enter your details below and direct download

Enter Name
Enter your email address
Enter Mobile Number
Enter your city name
Scroll to top
  • Home
  • Free Study Material
    • Ncert Books
      • Class 12 Ncert Books
      • Class 11 Ncert Books
      • Class 10 Ncert Books
      • Class 9 Ncert Books
      • Class 8 Ncert Books
      • Class 7 Ncert Books
      • Class 6 Ncert Books
      • Class 5 Ncert Books
      • Class 4 Ncert Books
      • Class 3 Ncert Books
      • Class 2 Ncert Books
      • Class 1 Ncert Books
    • Previous Year Question Papers
      • Class 12
      • Class 10
      • JEE Main Question Papers
      • JEE Advanced Papers
      • NEET Question Papers
    • CBSE Lab Manual
      • Class 12 Lab Manual
      • Class 11 Lab Manual
      • Class 10 Lab Manual
      • Class 9 Lab Manual
    • CBSE Revision Notes
      • Class 12 Notes
      • Class 11 Notes
      • Class 10 Notes
      • Class 9 Notes
      • Class 8 Notes
      • Class 7 Notes
      • Class 6 Notes
    • CBSE Important Questions
      • Class 12 Important Questions
      • Class 11 Important Questions
      • Class 10 Important Questions
      • Class 9 Important Questions
      • Class 8 Important Questions
      • Class 7 Important Questions
      • Class 6 Important Questions
    • CBSE Sample Papers
      • Class 9 Sample Papers
      • Class 8 Sample Papers
      • Class 7 Sample Papers
      • Class 6 Sample Papers
  • Reference Book Solutions
    • RD Sharma Solutions
    • HC Verma Solutions
    • RS Aggarwal Solutions
  • State Board Books
    • Tamil Nadu State Board
    • Karnataka State Board
    • Andhra Pradesh Board
    • MP Board Books
    • Gujarat Board
    • Punjab Board
    • Chhattisgarh Board
    • Maharashtra State Board
    • Odisha Board
    • Bihar Board
    • West Bengal Board
    • CISCE
  • For Schools