When a decimal with 3 decimal places is rounded to 2 decimal places, we look at the third decimal digit.
• To round to 12.05, the value after rounding at 2 decimal places must be 12.05.
• Minimum length: The smallest number with 3 decimal places that rounds up to 12.05 is 12.045.
• Maximum length: The largest number with 3 decimal places that rounds down to 12.05 is 12.054.
• 12.045 rounds to 12.05 (third digit 5 ≥ 5, rounds the 4 up to 5).
• 12.054 rounds to 12.05 (third digit 4 < 5, stays at 5).
• 12.055 would round to 12.06, so it is not included.
Final Answer: Minimum = 12.045 m, Maximum = 12.054 m