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NCERT solutions for Class 8 Mathematics chapter 7 - Cubes and Cube Roots

Mathematics Textbook for Class 8

NCERT Mathematics Class 8 Chapter 7: Cubes and Cube Roots

Ex. 7.10Ex. 7.20

Chapter 7: Cubes and Cube Roots Exercise 7.10 solutions [Page 114]

Ex. 7.10 | Q 1.1 | Page 114

The following numbers are not perfect cubes?

216

Ex. 7.10 | Q 1.2 | Page 114

The following numbers are not perfect cubes?

128

Ex. 7.10 | Q 1.3 | Page 114

The following numbers are not perfect cubes?

1000

Ex. 7.10 | Q 1.4 | Page 114

The following numbers are not perfect cubes?

100

Ex. 7.10 | Q 1.5 | Page 114

Which of the following numbers are notperfect cubes?

46656

Ex. 7.10 | Q 2.1 | Page 114

Find the smallest number by which the following number must be multiplied to obtain a perfect cube.

243

Ex. 7.10 | Q 2.2 | Page 114

Find the smallest number by which the following number must be multiplied to obtain a perfect cube.

256

Ex. 7.10 | Q 2.3 | Page 114

Find the smallest number by which the following number must be multiplied to obtain a perfect cube.

72

Ex. 7.10 | Q 2.4 | Page 114

Find the smallest number by which the following number must be multiplied to obtain a perfect cube.

675

Ex. 7.10 | Q 2.5 | Page 114

Find the smallest number by which the following number must be multiplied to obtain a perfect cube.

100

Ex. 7.10 | Q 3.1 | Page 114

Find the smallest number by which the following number must be divided to obtain a perfect cube.

81

Ex. 7.10 | Q 3.2 | Page 114

Find the smallest number by which the following number must be divided to obtain a perfect cube.

128

Ex. 7.10 | Q 3.3 | Page 114

Find the smallest number by which the following number must be divided to obtain a perfect cube.

135

Ex. 7.10 | Q 3.4 | Page 114

Find the smallest number by which the following number must be divided to obtain a perfect cube.

192

Ex. 7.10 | Q 3.5 | Page 114

Find the smallest number by which the following number must be divided to obtain a perfect cube.

704

Ex. 7.10 | Q 4 | Page 114

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?

Chapter 7: Cubes and Cube Roots Exercise 7.20 solutions [Page 116]

Ex. 7.20 | Q 1.01 | Page 116

Find the cube root of the following numbers by prime factorisation method.

64

Ex. 7.20 | Q 1.02 | Page 116

Find the cube root of the following numbers by prime factorisation method.

512

Ex. 7.20 | Q 1.03 | Page 116

Find the cube root of the following numbers by prime factorisation method.

10648

Ex. 7.20 | Q 1.04 | Page 116

Find the cube root of the following numbers by prime factorisation method.

27000

Ex. 7.20 | Q 1.05 | Page 116

Find the cube root of the following numbers by prime factorisation method.

15625

Ex. 7.20 | Q 1.06 | Page 116

Find the cube root of the following numbers by prime factorisation method.

13824

Ex. 7.20 | Q 1.07 | Page 116

Find the cube root of the following numbers by prime factorisation method.

110592

Ex. 7.20 | Q 1.08 | Page 116

Find the cube root of the following numbers by prime factorisation method.

46656

Ex. 7.20 | Q 1.09 | Page 116

Find the cube root of the following numbers by prime factorisation method.

175616

Ex. 7.20 | Q 1.1 | Page 116

Find the cube root of the following numbers by prime factorisation method.

91125

Ex. 7.20 | Q 2.1 | Page 116

State true or false.

Cube of any odd number is even.

• True

• False

Ex. 7.20 | Q 2.2 | Page 116

State true or false.

A perfect cube does not end with two zeroes.

• True

• False

Ex. 7.20 | Q 2.3 | Page 116

State true or false.

If square of a number ends with 5, then its cube ends with 25.

• True

• False

Ex. 7.20 | Q 2.4 | Page 116

State true or false

There is no perfect cube which ends with 8.

• True

• False

Ex. 7.20 | Q 2.5 | Page 116

State true or false.

The cube of a two digit number may be a three digit number.

• True

• False

Ex. 7.20 | Q 2.6 | Page 116

State true or false.

The cube of a two digit number may have seven or more digits.

• True

• False

Ex. 7.20 | Q 2.7 | Page 116

State true or false.

The cube of a single digit number may be a single digit number.

• True

• False

Ex. 7.20 | Q 3 | Page 116

You are told that 1331 is a perfect cube. Can you guess without factorization what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768

Chapter 7: Cubes and Cube Roots

Ex. 7.10Ex. 7.20

NCERT Mathematics Class 8 NCERT solutions for Class 8 Mathematics chapter 7 - Cubes and Cube Roots

NCERT solutions for Class 8 Maths chapter 7 (Cubes and Cube Roots) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics Textbook for Class 8 solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com are providing such solutions so that students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 8 Mathematics chapter 7 Cubes and Cube Roots are Introduction for Cubes, Some Interesting Patterns, Smallest Multiple that is a Perfect Cube, Cube Root Through Prime Factorisation Method, Cube Root of a Cube Number, Introduction of Cubes and Cube Root.

Using NCERT Class 8 solutions Cubes and Cube Roots exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 8 prefer NCERT Textbook Solutions to score more in exam.

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