Algebra and number system are closely connected topics. In algebra, we deal with trinomial equations having three degree, which mean highest power is three for he unknown variable. To solve this equation, we need to know how to calculate the cubes and cube root of the number. Likewise, cube root (except from perfect cube) are part of irrational numbers, which mean number which cannot be represented like p/q format (as we saw in the rational number chapter). Study of rational numbers and irrational numbers are important, because both of them are part of real numbers, and they can be marked on number line.

Grade 8 cubes and cube roots chapter teaches us how to calculate cube of number, and how to find cube root of a number . It show different methods like factorization and long division to calculate cube roots of any given number. This chapter has been best covered in Class 8 Maths NCERT book, which give detailed examples and exercises to learn to calculate cube root and cubes.

NCERT books are recommended course text books for students following Indian curriculum. They have been followed by CBSE and all other major school boards in India and abroad. Almost all of the public and private schools recommend this books to their students.

In this article, we have discussed about the Class 8 maths NCERT exercises for cubes and cube root chapter. We have provided detailed video solutions of NCERT problems for Class 8. Students can look into solved NCERT exercises for class 8 mathematics.

Though cubes and cube roots chapter looks easy, but many students make mistake in finding cube root of a numbers, especially those which are not perfect cube. These solved NCERT problems for class 8 will help in clearing the concepts of cubes and cube root chapter, and also make student understand in how to avoid common mistakes in cubes and cube root chapter.

## Class 8 math ncert solution cubes and cube roots chapter

**Exercise 7.1 solutions**

Q1 – Which of the following numbers are not perfect cubes? View Answer

Q2 – Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube View Answer

Q3 – Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube View Answer

Q4 – Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube? View Answer

**Exercise 7.2**

Q1 – Find the cube root of each of the following numbers by prime factorisation method View Answer

Q2 – State true or false. (i) Cube of any odd number is even. (ii) A perfect cube does not end with two zeros. (iii) If square of a number ends with 5, then its cube ends with 25. (iv) There is no perfect cube which ends with 8. (v) The cube of a two digit number may be a three digit number. (vi) The cube of a two digit number may have seven or more digits. (vii) The cube of a single digit number may be a single digit number View Answer

Q3 – You are told that 1,331 is a perfect cube. Can you guess without factorisation what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768 View Answer

## End Note

In the article, we have shared solutions for ncert exercises for class 8 maths for cubes and cube roots chapter. Students can click to respective chapters and refer to the right solution. We advise students to refer to them as clearing their concepts, and matching their solutions. Student should not use them to copy solutions for their homework and instead should try to solve homework on own, as it will impact their learning process.

In case you have any doubts regarding solution, or need further clarification, you can write to us. You can also reach out to us, in case you have doubt in other text books’ problems or school exam papers. We will be glad to assist you in helping with your doubt.

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