Class 8 Mathematics — Chapter 6: Cubes and Cube Roots
72 practice questions · 24 Easy · 24 Medium · 24 Hard
Practise Class 8 Mathematics Chapter 6, "Cubes and Cube Roots", with 72 NCERT-aligned multiple-choice questions. The set is split into 24 Easy, 24 Medium and 24 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams.
"Cubes and Cube Roots" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Cubes and Cube Roots, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 8 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 72.
Key concepts: Cubes and Cube Roots (Class 8 Mathematics)
This chapter covers perfect cubes, their properties, and finding cube roots by prime factorisation.
- Cube of a number
- The result of multiplying a number by itself three times, e.g. 2³ = 8.
- Perfect cube
- A number that is the cube of an integer (1, 8, 27, 64, …).
- Making a perfect cube
- Multiply or divide by the smallest number so that every prime factor appears in groups of three.
- Cube root
- The number whose cube gives the original number; written ∛x.
- By prime factorisation
- Group equal prime factors in threes; take one factor from each triplet to get the cube root.
Key formulas — Cubes and Cube Roots
💡 Exam tips for Cubes and Cube Roots
- For a perfect cube, every prime factor must occur a number of times that is a multiple of 3.
- The cube of an even number is even and of an odd number is odd.
Sample questions
Cube of 4:
4³ = 64.
∛216 by prime factorisation:
216 = 2³·3³ ⇒ ∛216 = 6.
∛729 =
9³ = 729.
Cubes and Cube Roots — FAQs
What are the key concepts in Class 8 Mathematics Cubes and Cube Roots?+
This chapter covers perfect cubes, their properties, and finding cube roots by prime factorisation. Key ideas include Cube of a number, Perfect cube, Making a perfect cube, Cube root, By prime factorisation.
What does Class 8 Mathematics Chapter 6 (Cubes and Cube Roots) cover on XamBaaz?+
It covers 72 NCERT-aligned MCQs on "Cubes and Cube Roots" — 24 Easy, 24 Medium and 24 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams.
Are these "Cubes and Cube Roots" questions free to practise?+
Yes — sign in with Google to practise "Cubes and Cube Roots" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Cubes and Cube Roots" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
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