# RS Aggarwal Class 8 Chapter 4 Solutions (Cubes And Cube Roots)

RS Aggarwal Class 8 Maths Solutions for Chapter 4 ‘Cubes and Cube Roots’ will solve all your doubts related to the chapter quickly. This Chapter of RS Aggarwal Class 8 Maths Solutions includes topics like 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. The chapter includes 4 exercises and 42 questions.

It is important to practice the concepts of cubes and cube roots as their questions involve many calculations. The more you will practice these questions, the easier it will be for you to solve them in the exams. Clarifying all your doubts regarding cubes and cube roots is also important for higher classes as it will help you in understanding the concepts of polynomials.

Our subject matter experts have provided clear, detailed and stepwise solutions to all the exercises of RS Aggarwal Class 8 Maths Chapter 4 ‘Cubes and Cube Roots’. You can refer to these solutions as and when required and identify the areas in which you are lagging behind in this chapter. Here, we have also provided a quick discussion of important concepts of RS Aggarwal Class 8 Maths Chapter 4 ‘Cubes and Cube Roots’ and its exercises.

## Important Topics for RS Aggarwal Class 8 Maths Solutions Chapter 4: Cubes and Cube Roots

**Cubes and Perfect Cubes **

First, in this chapter, you will learn what cubes and perfect cubes are. A number ‘a’ that can be represented as a=b^{3} is called a cube. For example, 8 = 2^{3}, 27 = 3^{3}, 125 = 5^{3}. Here, 8, 27, 125 are called cubes or perfect cubes as they all are made by multiplying three same numbers. We get 8 by multiplying three 2’s (2 x 2 x 2).

**Cube Roots **

When a number ‘a’ is given as a = b^{3} then, ‘b’ is known as the cube root of ‘a’. For example, 125 = 5^{3}, so 5 is the cube root of 125. With the help of the exercises given in RS Aggarwal Class 8 Maths Solutions Chapter 4 ‘Cubes and Cube Roots,’ you will learn the different methods of finding cube roots of a number.

**Properties of Cubes and Cube Roots **

You need to learn certain properties of cubes and cube roots that will help you solve the exercise questions of this chapter easily. These properties include:

- Cube of an even number will always be even and the cube of an odd number will always be odd. For example: 18
^{3}= 5,832 and 21^{3}= 9,261. - 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 units place respectively. For example: 15
^{3}= 3,375, 9^{3}= 729. - If a number has 2 in its units-place then its cube will have 8 in its units-place and vice versa. For example: 32
^{3}= 32,768, 22^{3}= 10,648, 18^{3}= 5,832, 8^{3}= 512. - If a number has 3 in its units-place then its cube will have 7 in its units-place and vice versa. For example: 13
^{3}= 2,197, 47^{3}= 1,03,823, 3^{3}= 27, 7^{3}= 343. - You can find the cube of a number using the identity: (a + b)
^{3}= a^{3}+ 3a^{2}b + 3ab^{2}+ b^{3}

### Exercise Discussion for RS Aggarwal Class 8 Maths Solutions Chapter 4: Cubes and Cube Roots

- Exercise 4A of RS Aggarwal Class 8 Maths Solutions for Chapter 4 ‘Cubes and Cube Roots’ consists of 10 questions where you are asked to evaluate if the given cubes are of even or odd numbers. Also, there are questions related to perfect cubes.
- In Exercise 4B, there are only 4 questions where you have to find the cube of a number using the identity (a + b)
^{3}= a^{3}+ 3a^{2}b + 3ab^{2}+ b^{3}. - Exercise 4C has 18 questions where you have to find the cube root of given numbers using prime factors.
- Exercise 4D has 10 questions related to perfect cubes, prime factorization method and cubes of fractional numbers. The exercise questions of RS Aggarwal Class 8 Chapter 4 ‘Cubes and Cube Roots’ are slightly more difficult than what you will find in the NCERT Class 8 Maths Chapter of ‘Cubes and Cube Roots’.

### Why Use RS Aggarwal Class 8 Maths Solutions Chapter 4: Cubes and Cube Roots by Instasolv?

- RS Aggarwal Solutions for Class 8 Maths Chapter 4 ‘Cubes and Cube Roots’ are prepared by the best subject matter experts to provide you with a guide on this chapter.
- All the exercise-wise solutions for RS Aggarwal Class 8 Maths Chapter 4 ‘Cubes and Cube Roots’ are available here. You can access them anytime.
- These solutions will enhance your conceptual understanding of finding cubes and cube roots so that you can easily solve questions in your CBSE exams.
- All our solutions are stepwise and easy to understand which will solve all your doubts related to this chapter.