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

NCERT Solutions for Class 8 Maths Chapter 7: NCERT Solutions for Class 8 Maths Chapter 7, "Cubes and Cube Roots," help students understand how cubes and cube roots work. In this chapter, students learn about what a cube is, how to find the cube of a number, and how to find the cube root of a number.

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

NCERT Solutions for Class 8 Maths Chapter 7 PDF

NCERT Solutions for Class 8 Maths Chapter 7 PDF

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

NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Exercise 7.1 Page: 114

(i) 216

Solution:

(ii) 128

Solution:

(iii) 1000

Solution:

(iv) 100

Solution:

(v) 46656

Solution:

(i) 243

Solution:

(ii) 256

Solution:

(iii) 72

Solution:

(iv) 675

Solution:

(v) 100

Solution:

(i) 81

Solution:

(ii) 128

Solution:

(iii) 135

Solution:

(iv) 192

Solution:

(v) 704

Solution:

4. Parikshit makes a cuboid of plasticine with sides 5 cm, 2 cm, and 5 cm. How many such cuboids will he need to form a cube?

Solution:

NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Exercise 7.2 Page: 116

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

(i) 64

Solution:

(ii) 512

Solution:

(iii) 10648

Solution:

(iv) 27000

Solution:

(v) 15625

Solution:

(vi) 13824

Solution:

(vii) 110592

Solution:

(viii) 46656

Solution:

(ix) 175616

Solution:

(x) 91125

Solution:

2. State true or false.

(i) Cube of any odd number is even.

Solution:

(ii) A perfect cube does not end with two zeros.

Solution:

(iii) If the cube of a number ends with 5, then its cube ends with 25.

Solution:

(iv) There is no perfect cube which ends with 8.

Solution:

(v) The cube of a two-digit number may be a three-digit number.

Solution:

(vi) The cube of a two-digit number may have seven or more digits.

Solution:

(vii) The cube of a single-digit number may be a single-digit number.

Solution:

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

Solution:

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

1. Hardy-Ramanujan Numbers: Examples like 1729, 4104, and 13832 can be expressed as the sum of two cubes in two different ways.
2. Cube Numbers: These are numbers obtained when a number is multiplied by itself three times.
3. Perfect Cubes: A number is considered a perfect cube if, in its prime factorization, each factor appears three times.

Benefits of NCERT Solutions for Class 8 Maths Chapter 7

• Comprehensive Understanding: These solutions provide clear explanations and step-by-step methods for understanding cubes, cube roots, and related concepts.
• Structured Learning: Organized into exercises, the solutions cover different aspects such as finding cubes, determining cube roots using methods like prime factorization, and solving practical problems.
• Improved Problem-Solving Skills: By practicing with these solutions, students can enhance their ability to solve mathematical problems related to cubes and cube roots effectively.
• Concept Clarity: The solutions clarify complex concepts in a simple manner, making it easier for students to grasp and apply them.
• Exam Preparation: Aligned with the NCERT curriculum, these solutions help students prepare comprehensively for exams, ensuring they are well-versed in the chapter’s topics.
• Enhanced Confidence: By using these solutions to tackle exercises and questions, students can build confidence in their mathematical abilities.