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Formula Sheet

Cubes and Cube Roots — Formula Sheet

ICSE · Class 8 · Mathematics

9 formulas from Cubes and Cube Roots (ICSE Class 8 Mathematics) on one page, grouped by topic. Part of the ICSE Class 8 Mathematics syllabus.

40 questions25 flashcards9 formulas & key relations5 concepts

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9 Entries · 4 Sections

Formulas and Key Relations

1. Cube of a Number

m × m × m = m^3

Cube of a positive number is positive; cube of a negative number is negative

3. Cube-Root

√[3]{x} = y ⇒ y^3 = x

√[3]{-m^3} = -√[3]{m^3} = -m

√[3]{xy} = √[3]{x} × √[3]{y}

√[3]{xyz} = √[3]{x} × √[3]{y} × √[3]{z}

√[3]{x/y} = √[3]{x} / √[3]{y}

Making a Number a Perfect Cube

3087 = 3 × 3 × 7 × 7 × 7, so one more 3 is needed.

Cube Roots

If ∛x = y, then y^3 = x.

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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 Cube of a Number, Perfect Cubes and Prime Factorisation, Making a Number a Perfect Cube, Cube Roots. Study these first, then practise questions on each for Class 8 exams.
How many formulas are in Cubes and Cube Roots?
This sheet lists 9 formulas from Cubes and Cube Roots, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Cubes and Cube Roots for Class 8 exams?
Learn the core ideas first, then work through the 40 practice questions on Cubes and Cube Roots. Revise 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 ICSE Class 8 Mathematics Formula Sheet

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