NCERT Solutions Class 8 Maths Chapter 7 Cubes and Cube Roots
The NCERT solutions for Class 8 maths Chapter 7 Cubes and Cube Roots explains the pattern of cubes which is when a number is multiplied by itself three times. Our whole cosmos is made up of different patterns, from the way the planets go around the sun to the number of petals we see in the flowers, to the pattern of the sea waves hitting the shore, based on different months or seasons of the year. Amidst all these patterns we human beings have been trying to unravel the many mysteries of nature and predict how different events unfold and mathematics has been the language devised to depict these patterns.
The NCERT solutions Class 8 maths Chapter 7 show that whenever a number is multiplied by itself three times we get another number. What relations can be made with respect to the new number which we call the cube of the original number. Famous story for one such relation made by a famous Indian mathematician is his observation on Taxi number ‘1729’ which he remarked is the smallest number that can be expressed in two different ways as summation of cubes of two numbers. The Class 8 maths NCERT solutions Chapter 7 Cubes and Cube Roots helps students learn the calculation of cube roots and the interesting facts as well as patterns related to them and also you can find some of these in the exercises given below.
NCERT Solutions for Class 8 Maths Chapter 7 PDF
Cubes and Cube Roots is an important and interesting concept to understand the nature of mathematics, and the NCERT solutions Class 8 maths Chapter 7 Cubes and Cube Roots has made sure to analyze this topic step by step, covering the easy examples and exercise questions first, and then gradually moving on to the complicated ones so that the students feel motivated throughout their learning. The exercise questions in each segment of the chapter can be accessed through the links below :
☛ Download Class 8 Maths NCERT Solutions Chapter 7
NCERT Class 8 Maths Chapter 7
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots
A deeper knowledge of numbers is essential in order to understand higher math topics. Hence, the team at NCERT has curated the questions in each exercise with well thought practical scenarios, which will help the students understand the problem and associate the concepts with them easily. A brief classification of questions in each exercise of NCERT Solutions Class 8 Maths Chapter 7 Cubes and Cube Roots can be seen as below :
- Class 8 Maths Chapter 7 Ex 7.1 - 4 Questions
- Class 8 Maths Chapter 7 Ex 7.2 - 3 Questions
Topics Covered: The Class 8 math NCERT solutions Chapter 7 covers the concept of perfect cubes, odd and even patterns of cubes, prime factors of cubes, cube roots of numbers, cube root of a cube number, finding cube root with the help of prime factorization method along with an explanation on the smallest multiple which is a perfect cube.
Total Questions: Class 8 maths Chapter 7 Cubes and Cube Roots consists of 7 questions out of which 5 are easy and quick to solve, while the remaining 2 may require a longer time.
List of Formulas in NCERT Solutions Class 8 Maths Chapter 7
The NCERT solutions Class 8 maths Chapter 7 outlines the relationship and patterns displayed by cubes with the help of appropriate examples, relevant charts, and tables so that the students can understand the pattern and can find more themselves. Some of the important facts and formulas covered in NCERT solutions for Class 8 maths Chapter 7 are given below :
- Cube of odd number is odd, and the cube of even number is even
- Each prime factor appears three times in its cube
FAQs on NCERT Solutions Class 8 Maths Chapter 7
Why are NCERT Solutions Class 8 Maths Chapter 7 Important?
The NCERT Solutions Class 8 Maths Chapter 7 have well-drafted examples to explain the concept of cubes and cube roots. With relevant charts and diagrams, the students will find the topics easy to comprehend. The CBSE board recommends the NCERT solutions for reference, which in itself highlights their importance.
Do I Need to Practice all Questions Provided in NCERT Solutions Class 8 Maths Cubes and Cube Roots?
These questions are like a treasure hunt, solving any question would unravel a hidden pattern and is thus very rewarding. Indeed one will get a good practice of playing with the numbers and get a better grasp on how these numbers are related to each other. With plenty of examples and exercise questions in NCERT Solutions Class 8 Maths Cubes and Cube Roots, the students can explore every detail of the cubes and cube roots topic.
What are the Important Topics Covered in NCERT Solutions Class 8 Maths Chapter 7?
The NCERT Solutions Class 8 Maths Chapter 7 covers the concept of cubes and cube roots in detail with the help of proper explanations of cubes and depicting them using examples of different patterns of cubes. Also, the process of how to find a cube, identifying a perfect cube, and finding the cube root of numbers is explained.
How Many Questions are there in Class 8 Maths NCERT Solutions Chapter 7 Cubes and Cube Roots?
The NCERT Solutions Class 8 Maths Chapter 7 Cubes and Cube Roots has 7 questions, 5 of which are short-form, while 2 are long-form problems. The students will be required to calculate or identify cubes and cube roots of numbers.
How CBSE Students can utilize NCERT Solutions Class 8 Maths Chapter 7 effectively?
The students should pay attention to the highlight sections in the NCERT Solutions Class 8 Maths Chapter 7 as they speak about important facts. These should be noted down and revised along with a consistent practice of solved examples and exercise questions. In this way, the students can utilize the NCERT Solutions Class 8 Maths Chapter 7 effectively.
Why Should I Practice Class 8 Maths NCERT Solutions Cubes and Cube Roots Chapter 7?
The NCERT Solutions Class 8 Maths Chapter 7 has well-explained examples and a logical step-by-step explanation of the facts with proper problem-solving statements. This will greatly help the students in learning how to solve exam questions and display their responses with correct logic. As a result, students must make the most of the chapter's content by practicing the examples and solving all the questions.