Final answer:
The volume of the small rectangular box is 11.4 cm³ ± 0.000125 cm³.
Step-by-step explanation:
The volume of a rectangular box can be calculated by multiplying the length, width, and height.
Using the given measurements of the small rectangular box, the volume can be calculated as follows:
Volume = length * width * height
Volume = 1.80 cm * 2.05 cm * 3.1 cm
Volume = 11.4 cm³
The uncertainty in the volume is determined by the uncertainty in the measurements. Since the measuring device is accurate to ±0.05 cm, the maximum uncertainty in each measurement is 0.05 cm. Therefore, the maximum uncertainty in the volume is:
Uncertainty = 0.05 cm * 0.05 cm * 0.05 cm = 0.000125 cm³
Therefore, the volume of the small rectangular box is 11.4 cm³ ± 0.000125 cm³.