Exercise 6.4 — Cubes and Cube Roots

Cubes and cube roots with interesting patterns.

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Exercise 6.4 — Cubes and Cube Roots (Class 8)

Exercise 6.4 — Cubes and Cube Roots is a practice exercise in Square Roots and Cube Roots for Class 8 Mathematics. Cubes and cube roots with interesting patterns. This exercise develops your skills in perfect squares and cubes and prime factorisation — both of which are tested directly in CBSE, Telangana and Andhra Pradesh board examinations.

How to Approach Exercise 6.4

  • Before writing, re-read each problem and identify: what is given, what is asked, and which formula or method applies.
  • This exercise tests perfect squares and cubes — master the underlying concept from the introduction lesson before attempting.
  • Show every step of your working in board exams — step marks are awarded independently of the final answer.
  • After solving each problem, verify your answer by substituting back or checking it against all given conditions.
  • Note the specific formula or identity used in each problem — these same tools appear in later exercises and in Class 8 board papers.
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Marks and Exam Pattern for Exercise 6.4

Problems from Exercise 6.4 in Square Roots and Cube Roots appear regularly in Class 8 board examinations across CBSE, Telangana and Andhra Pradesh. The questions test prime factorisation and long division method. Work through every problem in this exercise before your exam — the examiner draws from these standard problem types when setting the board paper.

How to Use This Lesson

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