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 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 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.
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?
|Chapter -1||Rational Numbers|
Q.1 Find the cube root of each of the following numbers by prime factorisation method.
Q. Which of the following are perfect cubes?
Q.1 Which of the following numbers are not perfect cubes?