## RS Aggarwal Solutions Class 8 Chapter-4 Cubes and Cube Roots (Ex 4B) Exercise 4.2 - Free PDF

## FAQs on RS Aggarwal Solutions Class 8 Chapter-4 Cubes and Cube Roots (Ex 4B) Exercise 4.2

**1. What is the method of finding the Cube Root of a Number according to RS Aggarwal Solutions Class 8 Chapter-4 Cubes and Cube Roots (Ex 4B) Exercise 4?**

The Cube Root can be calculated by using the prime factorization method. In order to find the Cube Root of a number, find the prime factorization of the given number. Then, divide the factors into groups containing three same factors. After that, remove the Cube Root symbol and multiply the factors to get the answer. If there is any factor left that cannot be divided equally into groups of three, that means the given number is not a perfect Cube and we cannot find the Cube Root of that number.

**2. What is a Cube of a Number according to RS Aggarwal Solutions Class 8 Chapter-4 Cubes and Cube Roots (Ex 4B) Exercise 4?**

When a number is multiplied three times by itself, the resultant number (product) is known as the Cube of the given number. This is known as a Cube because it helps to represent the volume of Cube. In other words, a number raised to exponent 3 is called the Cube of that number. For example, the Cube of 4 is 64. That means 4 × 4 × 4 = 64, and it can be written as 4^{3}. To find the Cube of a number, first, multiply that number by itself, then multiply the product obtained with the original number again. For example, to find the Cube of 7, we will first find the value of 7 × 7. This value is 49. Now, we will find 49 × 7. This is equal to 343. Hence, we can say that the number 7 is 343.

**3. How to find a Cube of a negative number according to RS Aggarwal Solutions Class 8 Chapter-4 Cubes and Cube Roots (Ex 4B) Exercise 4?**

The process for finding the Cube of a negative number is the same as that of a whole number and fraction. Remember that the Cube of a negative number is always negative, while the Cube of a positive number is always positive. For example, let us try finding the Cube of -7.

We know that the Cube of -7 is (-7) × (-7) × (-7). Now, in order to find the Cube of (-7), we will first find the value of (-7) × (-7). This value is 49. Now, we will find 49 × (-7). This is equal to -343. Hence, it proves that the Cube of the number -7 is -343.

**4. How will you find the Cube Root of 343?**

The Cube Root of 343 can be found as it is the number which when multiplied three times by itself gives 343 as the product. If we multiply 7 three times, we will get 343 as the product as 7 × 7 × 7 = 7^{3} = 343 (We can use the prime factorization method to find this). Thus, the Cube Root of 343 is 7. Vedantu’s expert teaches us how to find the Cube Root of this number.

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