Explanation:

- Calculation of Odd Divisors of 216:

- Begin by finding the prime factorization of 216. The prime factors are \(2^3 \times 3^3\).

- The odd divisors come from the factor of 3s only, since 2 is even.

- The divisors from \(3^3\) are: 1, 3, 9, and 27.

- Add these divisors together: \(1 + 3 + 9 + 27 = 40\).

- Examine the Options:

- Option 1 (16): Incorrect. Calculation shows the sum is 40.

- Option 2 (14): Incorrect. The correct sum is 40.

- Option 3 (40): Correct.

- Option 4 (600): Incorrect. Much higher than the sum of just odd divisors.