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

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a Hardy-Ramanujan number?

πŸ’‘ Hint: Think about the number 1729.

Question 2

Easy

List the first three perfect cubes.

πŸ’‘ Hint: What happens when you multiply whole numbers by themselves three times?

Practice 3 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

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

  • 1728
  • 1729
  • 1730

πŸ’‘ Hint: Consider the significance noted by Ramanujan.

Question 2

True or False: 1729 can be expressed as 1Β³ + 12Β³.

  • True
  • False

πŸ’‘ Hint: Recall Ramanujan's contributions.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Investigate numbers expressed through respective cubic roots.

Question 2

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

πŸ’‘ Hint: Find the cube roots of low numbers.

Challenge and get performance evaluation