RS Aggarwal Class 8 Solutions Chapter 4

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.