Skip to main content
Super TutorResources
Chapter 4 of 25
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Revision Notes

Cubes and Cube Roots

ICSE · Class 8 · Mathematics

Quick revision notes for Cubes and Cube Roots — ICSE Class 8 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

40 questions25 flashcards5 concepts

Interactive on Super Tutor

Studying Cubes and Cube Roots? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

1,000+ Class 8 students started this chapter today

Key Topics to Revise

1

1. Cube of a Number

  • For any number m, m × m × m is called the cube of m or m cube and is written as m^3.
  • Cube of a positive number is positive.
  • Cube of a negative number is negative.
2

2. Perfect Cubes and Prime Factorisation

  • The cube of a number is called a perfect cube.
  • A number is a perfect cube if it can be expressed as the product of triplets of equal factors.
  • Prime factorisation helps check whether all factors can be arranged in groups of three.
3

3. Making a Number a Perfect Cube

  • Sometimes a number must be multiplied or divided to become a perfect cube.
  • 3087 = 3 × 3 × 7 × 7 × 7, so one more 3 is needed.
  • 3087 multiplied by 3 gives 21^3.
4

4. Cube Roots

  • The cube-root of a given number is the number whose cube is the given number.
  • If ∛x = y, then y^3 = x.
  • Cube-root of a positive number is positive.

Get complete notes with diagrams and examples

Full Notes

Key Concepts

For any number mThe cube of a numberA number is factored into primesIf one prime factor is leftThe cube

Frequently Asked Questions

What are the important topics in Cubes and Cube Roots for ICSE Class 8 Mathematics?
Key topics in Cubes and Cube Roots include Flowchart showing how cubing a negative number results in a negative answer through step-by-step multiplication, Distribution showing that most numbers are not perfect cubes, Decision flowchart for identifying perfect cubes using prime factorization. These are the concepts ICSE Class 8 examiners draw on most — study them first, then practise related questions.
How to score full marks in Cubes and Cube Roots — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 40 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Cubes and Cube Roots

All 25 chapters — ICSE Class 8 Mathematics Revision Notes

For serious students

Get the full Cubes and Cube Roots chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 8 Mathematics.

Try Super Tutor Free
Try the full chapter — Free