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A small sphere is centered at a corner of a large cube. What proportion of the surface of the sphere is inside of the cube?

Answer the same question with the cube replaced with a regular octahedron.

(No Solution Yet, 0 Comments) Submitted on 2025-02-28 by Jer   
Difficulty: 4 of 5 Bonus: Perfect square? (in Numbers) Rating: 3.00
Find all integer solutions of y² = x³ - 432.
(Solution Posted, 12 Comments) Submitted on 2004-07-23 by Nick Hobson   
Difficulty: 3 of 57^23 As The Product Of Five Numbers (in Numbers)
Posted on 2025-02-28 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 1 of 5Factorial Product Poser (in Numbers)
Posted on 2025-02-27 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Golden Birthday Occurrence (in Probability)
Posted on 2025-02-27 by Charlie (No Solution Yet, 0 Comments)
Difficulty: 3 of 5Optimizing triangulation moves (in Just Math)
Posted on 2025-02-26 by Danish Ahmed Khan (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Root to Polynomial Connection (in Just Math)
Posted on 2025-02-26 by Danish Ahmed Khan (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Wordle Color Patterns (in Games)
Posted on 2025-02-25 by Larry (No Solution Yet, 10 Comments)
Difficulty: 1 of 5Desperately Difficult Derivative #2 (in Calculus)
Posted on 2025-02-25 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Find the Floor Difference (in Just Math)
Posted on 2025-02-24 by K Sengupta (No Solution Yet, 2 Comments)
Difficulty: 1 of 5The enormous digit sum (in Numbers)
Posted on 2025-02-24 by Danish Ahmed Khan (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Progression of a Square (in Numbers)
Posted on 2025-02-23 by Charlie (Solution Posted, 2 Comments)
Difficulty: 3 of 5Log of Log equation (in Just Math)
Posted on 2025-02-22 by Danish Ahmed Khan (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Sum of Squares Equals Real Ratio (in Just Math)
Posted on 2025-02-21 by K Sengupta (No Solution Yet, 5 Comments)
Difficulty: 3 of 5Add to Factorial, Get Perfect Power (in Numbers)
Posted on 2025-02-21 by K Sengupta (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Brainteasing with birthdays (in General)
Posted on 2025-02-20 by Danish Ahmed Khan (No Solution Yet, 1 Comments)

Recently Posted Solutions:
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