Practice Introduction - 6.1 | 6. Cubes and Cube Roots | CBSE 8 Mathematics
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Introduction

6.1 - Introduction

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a Hardy-Ramanujan number?

💡 Hint: Think about the number 1729.

Question 2 Easy

List the first three perfect cubes.

💡 Hint: What happens when you multiply whole numbers by themselves three times?

3 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which of the following numbers is a Hardy-Ramanujan number?

1728
1729
1730

💡 Hint: Consider the significance noted by Ramanujan.

Question 2

True or False: 1729 can be expressed as 1³ + 12³.

True
False

💡 Hint: Recall Ramanujan's contributions.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Identify the next Hardy-Ramanujan number after 1729 and explain its significance.

💡 Hint: Investigate numbers expressed through respective cubic roots.

Challenge 2 Hard

Create a number that’s a perfect cube and explain the prime factorization method to determine its cubeness.

💡 Hint: Find the cube roots of low numbers.

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