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Cubes and Cube Roots

ICSE · Class 8 · Mathematics

Flashcards for Cubes and Cube Roots — ICSE Class 8 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

40 questions25 flashcards5 concepts

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25 Flashcards
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 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.
How many flashcards are available for Cubes and Cube Roots?
There are 25 flashcards for Cubes and Cube Roots covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

Sources & Official References

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

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