Final answer:
The volume of a rectangular prism is calculated as the product of its length, width, and height. For a box with sides 1.80 cm, 2.05 cm, and 3.1 cm, the volume is 11.451 cm³. The uncertainty in measurement, given the accuracy of ±0.05 cm, must be calculated based on the sum of relative uncertainties.
Step-by-step explanation:
The volume of a rectangular prism is calculated by multiplying its length, width, and height. The given measurements for the sides of the small rectangular box are 1.80 cm, 2.05 cm, and 3.1 cm. The formula to find the volume is:
Volume of the rectangular prism = length × width × height
Therefore, the volume of the box is 1.80 cm × 2.05 cm × 3.1 cm = 11.451 cm³. Considering the uncertainty of the measuring device which is ±0.05 cm for each dimension, the maximum uncertainty would be calculated based on the sum of the relative uncertainties in each measurement, leading to a final uncertainty value that would be added or subtracted from the calculated volume.