# NCERT Solutions for Class 8 Maths Chapter 7- Cubes and Cube Roots

## NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots

The calculation is the backbone of mathematics and if you want to have a good command over mathematics then you can’t neglect the calculation part. In order to this NCERT Solutions for Class 8 Maths Chapter 7, Cubes and Cube Roots are solved by subject experts so that students could use these calculation techniques to crack the mathematical problems in minimal time.

NCERT class 8 Chapter Cubes and Cube-roots are here to enhance your calculation skills. Cube is a well-known shape in geometry comes with 3- dimensions which have all sides equal but here we will not discuss that Cube. In this particular chapter, we are going to learn how cubes & cube-roots are calculated for a given number. In this chapter, there are 2 exercises with 7 questions.

• Cube-

Cube means a number will be multiplied 3-times by itself. For example:- If we want to calculate the cube of 3 then the cube will be 3×3×3 = 27, similarly, a cube of 5 is 5×5×5=125.

• Cube Root-

Cube root then cube root is just a reverse application of cube means when a number multiplied 3-times by itself then it will result in the cube and the root number of this result is called cube root. For example:- Cube of 3 = 3×3×3 which is equal to 27 and similarly in the reverse manner cube root of 27 is equal to 3. There is another way to understand this, Which number we should multiply 3 times by itself to gain 27, then the number which will strike in your mind will be 3. Let's take another example, the cube root of 512 will be 8 because after multiplying 8, three times by itself will result in 512.

## Topics of NCERT for Chapter 7 Cube and Cube Roots

7.1 Introduction

7.2 Cubes

7.2.1 Some interesting patterns

7.2.2 Smallest multiple that is a perfect cube

7.3 Cube Roots

7.3.1 Cube root through prime factorization method

7.3.2 Cube root of a cube number

 Example: Is 243 a perfect cube? Solution:  243 = 3 × 3 × 3 × 3 × 3  In the above factorisation 3 × 3 remains after grouping the 3’s in triplets. Therefore, 243 is not a perfect cube.

## NCERT Solutions For Class 8 Maths: Chapter-wise

 Chapter -1 Rational Numbers Chapter -2 Linear Equations in One Variable Chapter-3 Understanding Quadrilaterals Chapter-4 Practical Geometry Chapter-5 Data Handling Chapter-6 Squares and Square Roots Chapter-7 Cubes and Cube Roots Chapter-8 Comparing Quantities Chapter-9 Algebraic Expressions and Identities Chapter-10 Visualizing Solid Shapes Chapter-11 Mensuration Chapter-12 Exponents and Powers Chapter-13 Direct and Inverse Proportions Chapter-14 Factorization Chapter-15 Introduction to Graphs Chapter-16 Playing with Numbers