Total number of cubic blocks are 50. To construct a solid cube with none left over, what will be the minimum number that needs to be taken? 

1. 21 
2. 22 
3. 23 
4. None of these 

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To form a solid cube, the total number of cubic blocks must be a perfect cube (like 1, 8, 27, 64, 125, etc.).

You have 50 blocks, and you want to know the minimum number to remove so that the remaining blocks form a perfect cube.

Let’s find the largest perfect cube less than or equal to 50:

• 3³=27
• 4³=64 → Too big
• So, the closest cube ≤ 50 is 27

✅ Final Answer:

To construct a solid cube, you need to remove:

50−27=2350 – 27 = 2350−27=23 blocks