Final answer:
Using the formula for the volume of a rectangular solid, the small box with given dimensions has a volume of approximately 11.4 cm³ when rounded to two significant figures.
Step-by-step explanation:
The volume of a rectangular solid is calculated using the formula volume of stack = length x width x height. Given the dimensions of a small rectangular box are 1.80 cm, 2.05 cm, and 3.1 cm, the volume is calculated as follows:
Volume = 1.80 cm × 2.05 cm × 3.1 cm = 11.403 cm³
If we consider the measurement uncertainty of ±0.05 cm for each dimension, the maximum possible volume would be calculated using the largest possible dimensions (1.85 cm × 2.10 cm × 3.15 cm) and the minimum volume with the smallest possible dimensions (1.75 cm × 2.00 cm × 3.05 cm). However, since the question only provided options without uncertainties, we will disregard the uncertainty for this part of the solution. Thus, rounding 11.403 cm³ to two significant figures according to the options given, the closest volume is approximately 11.4 cm³.