Identify the open-ended problem.

Options

A. Parikshit makes a cuboid of dimension 5 cm, 2 cm, 5 cm. How many such cuboids are required to form a cube?
B. Find the cube-root of 512 using prime factorisation method.
C. Find the cube of 10.
D. Write any 5 numbers whose cube is more than 64.

Answer

To identify the open-ended problem from the given options, we will analyze each option to see if it allows for multiple solutions or approaches.

### Step-by-Step Solution:

1. **Understand the Definition of Open-Ended Problems**:
- An open-ended problem is one that can have multiple solutions or approaches. It allows for creativity and different methods of arriving at an answer.

2. **Analyze Option A**:
- **Question**: How many such cuboids are required to form a cube?
- **Analysis**: This question has a fixed answer based on the dimensions of the cuboids. It does not allow for multiple solutions.
- **Conclusion**: Closed-ended problem.

3. **Analyze Option B**:
- **Question**: Find a cube root of 512 using the prime factorization method.
- **Analysis**: This question specifies a method (prime factorization) and has a single answer (8).
- **Conclusion**: Closed-ended problem.

4. **Analyze Option C**:
- **Question**: Find the cube of 10.
- **Analysis**: The cube of 10 is 1000, which is a straightforward calculation with a single answer.
- **Conclusion**: Closed-ended problem.

5. **Analyze Option D**:
- **Question**: Write any 5 numbers whose cube is more than 64.
- **Analysis**: This question allows for multiple numbers to be chosen. For example, one could choose 4, 5, 6, 7, and 8, or any other combination of numbers greater than 4 (since \(4^3 = 64\)).
- **Conclusion**: Open-ended problem.

6. **Final Conclusion**:
- The open-ended problem is **Option D**: "Write any 5 numbers whose cube is more than 64."