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Cubes and Cube Roots — Flashcards

ICSE · Class 8 · Mathematics

25 flashcards for Cubes and Cube Roots (ICSE Class 8 Mathematics) to test yourself on key terms and facts. Sample: "Find the cube of 5."

40 questions25 flashcards9 formulas & key relations5 concepts

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25 Flashcards·
Cube of a numberSign of cubesPerfect cubePerfect cube test
Card 1Cube of a number

Find the cube of 5.

Answer

Step 1: Use the cube rule: m × m × m = m^3. Step 2: 5 × 5 × 5 = 125. Answer: 5^3 = 125.

Card 2Cube of a number

Find the cube of 8.

Answer

Step 1: Write 8 as 8 × 8 × 8. Step 2: Multiply: 8 × 8 = 64, and 64 × 8 = 512. Answer: 8^3 = 512.

Card 3Cube of a number

Find the cube of -4.

Answer

Step 1: Write -4 × -4 × -4. Step 2: (-4) × (-4) = 16. Step 3: 16 × (-4) = -64. Answer: (-4)^3 = -64.

Card 4Sign of cubes

Why is the cube of a positive number positive and the cube of a negative number negative?

Answer

A cube multiplies the same number three times. For a positive number, all three factors are positive, so the product is positive. For a negative number, three negative factors give a negative product.

Card 5Perfect cube

Find the cube of 6 and say whether it is a perfect cube.

Answer

Step 1: 6 × 6 × 6 = 216. Step 2: A cube of a number is called a perfect cube. Answer: 216 is a perfect cube.

Card 6Perfect cube

Find the cube of 15 and say whether it is a perfect cube.

Answer

Step 1: 15 × 15 × 15 = 3375. Step 2: A cube of a number is called a perfect cube. Answer: 3375 is a perfect cube.

Card 7Perfect cube test

Is 297 a perfect cube? Show the factorisation check.

Answer

Step 1: Write the prime factorisation: 297 = 3 × 3 × 3 × 11. Step 2: A perfect cube needs all prime factors in triplets. Step 3: The three 3s form one triplet, but 11 is left ungrouped. Answer: 297 is…

Card 8Perfect cube test

Is 2744 a perfect cube? Show the factorisation check.

Answer

Step 1: Write the prime factorisation: 2744 = 2 × 2 × 2 × 7 × 7 × 7. Step 2: The factors form triplets: (2 × 2 × 2) and (7 × 7 × 7). Step 3: Combine one number from each triplet: 2 × 7 = 14. Step 4: S…

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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 flashcards are available for Cubes and Cube Roots?
There are 25 flashcards for Cubes and Cube Roots covering key definitions, facts and ideas. A few sample cards are shown on this page.
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.

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