6 - Cubes and Cube Roots
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Practice Questions
Test your understanding with targeted questions
What is the cube of 4?
💡 Hint: Use the formula S³, where S = 4.
Is 8 a perfect cube?
💡 Hint: Determine if there's an integer that can be cubed to get 8.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the cube of 5?
💡 Hint: Multiply 5 by itself three times.
Is 1729 a Hardy-Ramanujan number?
💡 Hint: Think about the definition of Hardy-Ramanujan numbers.
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Challenge Problems
Push your limits with advanced challenges
Find the smallest number to multiply with 100 to make a perfect cube.
💡 Hint: Analyze the prime factors carefully.
Analyze if 375 is a perfect cube, and if not, find the smallest number to divide it by.
💡 Hint: Consider each prime factor and its frequency.
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