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Quick and Easy RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots

RS Aggarwal Solutions

Quick and Easy RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots

Last updated date: 16th Apr 2024

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RS Aggarwal Maths Cubes and Cube roots Solutions

Scoring marks in Class 8 exams is now one of the easiest tasks ever for a student! Guess why? Because now you will have access to the most famous RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots which is said to be one of the ultimate savers for all the exam preparation you have been pushing back! However, to understand what is written in the solutions it will be necessary to first access the theory part of the numerical provided in the NCERT textbook or look at a summary provided in the RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots will also serve the purpose.

Best Cube and Cube Roots solution for Class 8 Chapter 4

All Solutions for Class 8 Maths Chapter 4 – Cubes and Cube Roots, are given here. Revising the RS Aggarwal textbook questions will help you in analyzing your preparation and information on the concepts. You can also refer to exercise-wise solutions from the below links. To assist you personally with this RS Aggarwal Solutions Class 8 Chapter 4 comprehension and take care of the issues, students can now register for online tuitions with our Master teachers. We at Vedantu have the best and reliable source of study material, specially made by our Master teachers.

About Cubes and Cube Roots

Cubes and cube roots are utilized in everyday Mathematics, like in powers and exponents, or to locate a three-dimensional cube's side when its volume is given. In this PDF of RS Aggarwal solutions class 8 ch 4, numerous exercise issues are comprehended, which improves the knowledge regarding the concepts. Also, the solutions of Maths RS Aggarwal class 8 chapter 4 that are given here will help you get to know a wide range of solving problems and create critical thinking abilities.

Cubes

Numbers obtained when a number is multiplied three times by itself are known as cube numbers or perfect cubes.

For example: 1, 8, 27, …, etc.

The cube of the natural number m is denoted by m3 and it is expressed as m3 = m × m × m.

Thus, 1³ = 1 × 1 × 1 = 1

2³ = 2 × 2 × 2 = 8

3³ = 3 × 3 × 3 = 27, and so on.

Some Interesting Patterns

If in the prime factorization of any number, each prime factor occurs three times, then the number is the perfect cube.

For example, 216 = 2 × 2 × 2 × 3 × 3 × 3 = 2³ × 3³ = (2 × 3)³ = 6³ which is a perfect cube.

Smallest Multiple that is a Perfect Cube

Usually, we need to find the smallest natural number by which a number is multiplied or divided to make it a perfect cube.

Cube Roots

The cube root is nothing but the inverse operation of finding the cube.

2³ = 8 ⇒ 2 is the cube root of 8.

The symbol ∛ denotes the cube root. Thus,∛8 = 2

Cube Root Through Prime Factorisation Method

For finding the root cube using the division method, it is equivalent to using the long division method or the manual square method. Create a pair of three digits from the back to the centre. The next move is to find a number whose cube root is less than or equal to that number. Now deduct the obtained number from the specified number and enter the second number. After this step, it is important to find the multiplication factor for the further phase in the long division system, which results from the multiplication of the first number obtained. Similarly, continue the process mentioned above to find the cube root of a number. This long division method is used when the number in question is not the perfect cube number.

Steps to find Cube Root of a Cube Number

Get a given number. Start making groups of three digits starting from the digit on the right side of the number.
The first group will give the appropriate cube root (unit) digit.
Then take the next party. Find the nearest cube numbers in which this group is found. Take one’s place of the smaller number as ten’s place of the required cube root.

Exercises with Solutions in Class 8 Maths Chapter 4 Cubes and Cube Roots

Reasons to Use the RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots:

It is one of the highly recommended solutions from the students who have used it
It provides a wide range of solutions that each student can understand with ease
There is no difficult language used that will complicate the complex question answers.

Conclusion

The cube root of a number can be identified by a very simple method, which is the prime factorization method. The cube root is denoted by the ‘∛ ‘ symbol. It's easy to find the cube root of a number for a perfect cube number. Finding the cubic root of a non-perfect cube number is a little complicated, but can be easily learned. To find the cube root of any number, we need to find a number that gives the original number when multiplied three times by itself. Visit Vedantu to find the best study material for better sessions of conceptual development in this subject.

FAQs on Quick and Easy RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots

1. Why should I refer to Vedantu for RS Aggarwal Solutions Class 8 Chapter 4?

Vedantu provides top-notch content for Mathematics which has few of the best Mathematics teachers in the country. So when students refer to RS Aggarwal Solutions Class 8 Chapter 4 they are provided with an expert solution by few premier Mathematics teachers.

2. How important is RS Aggarwal Class 8 Cube and Cube Roots?

Great skills on Cubes and Cube Roots allow students to figure out complex problems of higher order problems of upcoming classes.

3. How do I get the free RS Aggarwal Class 8 maths solutions chapter 4?

Students can download the free PDF of RS Aggarwal Class 8 maths solutions chapter 4 on Vedantu’s website. It provides free PDF on different topics of Mathematics.

4. Will RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots help me understand the chapter well?

RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots provides a detailed answer that involves each step given in great detail and precise manner which will help you understand the chapter well. Apart from these, you will find some great tips and tricks for complex matters and how to get through them. After all, it is up to how much effort you put in that determines whether you will be able to understand the chapter well. But with the RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots making it easy it shouldn’t really be that great of a problem.

5. What are the important topics that are covered in the RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots?

The important topics that are covered under the RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots are as follows:

Concept of cube roots
Concept of cube numbers
Finding cube root through prime factorization method

All of these topics are covered in a really detailed manner that will help the students to understand the concepts involved in Chapter-4 Cubes and Cube Roots well. Apart from helping you understand these important topics you also get a number of examples that help you practice these topics with ease.

6. Is Chapter-4 Cubes and Cube Roots one of the hardest chapters and how will referring to RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots help with this matter?

If you think that Chapter-4 Cubes and Cube Roots is one of the hardest chapters to tackle ever then you will keep that mentality and do not even try a bit. Instead of thinking of it as one of the difficult chapters, how about you refer to RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots via Vedantu that will give you an idea about how to get answers in an easy manner. This small effort will in turn provide great results.

7. I am slow in understanding the maths subject and can’t understand the concepts taught in class. Will RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots help me with the same?

There are times when some students tend to understand the concepts a bit slower than others and are afraid to ask the teachers about the doubts they have. This creates a problem in the future as you are then not well known with the basics and makes a big mess when you go for complicated matters. But this can now be solved by referring to the RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots as it consists of easy and simple steps to understanding the complex and hard questions that are asked. But you should make sure that you refer to this right when your teacher has taught the concept. If you do so it is for sure that the concepts will remain fresh and you will be able to understand everything just by reading once. If you still feel like you have doubts you can also check out the Vedantu Class 8 NCERT solutions that provide detailed answers as well.

8. Are there a lot of exercises given in the RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots and when should I start preparing for the exam?

Yes, there are a lot of exercises provided in the RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots that train the students for the worst of questions being asked in the exams. It is only when you solve each and every exercise and the questions mentioned that you can get great marks in the exam. As far as preparing for your Class 8 exams are considered it would be safe to say that doing your studies daily will help you remain calm minded and if you have still pushed back the studies you can still begin within a month or two and cover up with the help of RS Aggarwal Class 8 Mathematics Solutions for Chapter-4 Cubes and Cube Roots.