The missing number in 343, 512, 729,1000, ?, 1728 is

Options

A. 1271
B. 1331
C. 1457
D. 1512

Answer

To find the missing number in the sequence 343, 512, 729, 1000, ?, 1728, we will identify the pattern in the numbers provided.

### Step-by-Step Solution:

1. **Identify the Numbers**: The given numbers are 343, 512, 729, 1000, ?, and 1728.

2. **Recognize Perfect Cubes**: We need to determine if these numbers are perfect cubes.
- \( 343 = 7^3 \)
- \( 512 = 8^3 \)
- \( 729 = 9^3 \)
- \( 1000 = 10^3 \)
- \( 1728 = 12^3 \)

3. **Determine the Missing Cube**: From the identified cubes, we see:
- The sequence of cubes is \( 7^3, 8^3, 9^3, 10^3, ?, 12^3 \).
- The missing number corresponds to \( 11^3 \).

4. **Calculate \( 11^3 \)**:
\[ 11^3 = 11 \times 11 \times 11 = 121 \times 11 = 1331 \]

5. **Conclusion**: Therefore, the missing number is \( 1331 \).

### Final Answer:
The missing number is **1331**.