NCERT Solutions for Class 8 Maths Chapter 7 – Cubes and Cube Roots
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots are very important for students as it helps them in scoring high marks in exams. NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots contain a detailed step-by-step explanation of all the problems that come under the Chapter 7 NCERT Maths Textbook.
Our best subject matter experts have prepared this NCERT solution for class 8 Maths Chapter 7 Cubes and Cube roots with a description of the complete procedure. Students will be able to clear all their doubts related to “Cubes and Cube Roots” of a number by learning the easy computational methods.
Our NCERT solutions for class 8 Maths Chapter 7 Cubes and Cube Roots are according to the latest CBSE syllabus and it is also having amendment time to time. The student will get all solutions for their problems of finding the cubes and cube roots through our app altogether. Our app offers you the NCERT solutions for class 8 chapter 7 Cubes and Cube Roots with free downloadable pdf and doubts clearing sessions.
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CBSE Class 8 Maths Chapter 7 Cubes and Cube Roots – NCERT Solutions
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots help the students in finding the cubes and cube roots of different numbers. It explains the difference between cubes and cube roots, and also makes it interesting with some patterns. The chapter also describes to the students about the process of finding out the cubes and cube roots of a number using the prime factorization method.
Sub-topics covered under Cubes and Cube Roots
- Ex. 7.1 Introduction
- Ex. 7.2 Cubes
- Ex. 7.2.1 Some Interesting Patterns
- Ex. 7.2.2 Smallest multiple that is a perfect cube
- Ex. 7.3 Cube Roots
- Ex. 7.3.1 Cube root through prime factorization method
- Ex. 7.3.2 Cube root of a cube number
NCERT Solutions for Class 8 Maths Chapter 7
The chapter helps to understand the method of finding the cube root of a cube number. NCERT Solutions for class 8 Maths chapter 7 Cubes and Cube Roots will make the students master over multiplication and division at an advanced level. This is an important chapter which lay a strong foundation when students dealing with numbers and complex numerical operations.
Ex. 7.1 Introduction
The student will learn about meaning and finding of cubes and cube roots of a number.
Ex. 7.2 Cubes
In geometry, the cube represents a shape. But in data handling cube of a number is the value obtained when the number is multiplied by itself three times.
Ex. 7.2.1 Some Interesting Patterns
The student will learn some interesting pattern of numbers by adding consecutive odd numbers, prime factors, etc.
Ex. 7.2.2 Smallest multiple that is a perfect cube
The student will learn to get the smallest number needed to multiply a number to make it a perfect cube.
Ex. 7.3 Cube Roots
The student will come to know that finding the cube root of a number is an inverse process of finding the cube.
Ex. 7.3.1 Cube root through prime factorization method
The student will learn a very interesting method of prime factorization for finding the cube root of a number.
Ex. 7.3.2 Cube root of a cube number
The student will learn to find the cube root of a cube number using the grouping method with digits property.
Some questions from NCERT Solutions for Cube and Cube Roots
Q.1 Write the units digit of the cube for the following number:
A – 1
B – 2
C – 5
D – 3
Solution
1 × 1 × 1 = 1
So the units digit of the cube is also 1.
Ans – Option A.
Q.2 Write the units digit of the cube for the following number:
A – 1
B – 7
C – 9
D – 3
Solution
9 × 9 × 9 = 729
So the units digit of the cube is also 9.
Ans – Option C.
Q.3. Write the units digit of the cube for the following number:
A 4
B 3
C 2
D 8
Solution
8 × 8 × 8 = 512
So the units digit of the cube is also 2.
Ans – Option C.
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