Final answer:
To calculate the volume of a rectangular box, multiply the length, width, and height. The volume of the given rectangular box is 11.4 ±0.1 cm³. The measuring device used has an accuracy of ±0.05 cm.
Step-by-step explanation:
To calculate the volume of a rectangular box, you need to multiply the length, width, and height of the box. In this case, the dimensions of the box are 1.80 cm, 2.05 cm, and 3.1 cm. So, the volume can be calculated as follows:
Volume = length x width x height
Volume = 1.80 cm x 2.05 cm x 3.1 cm
Volume = 11.4633 cm³
Since the measuring device is accurate to ±0.05 cm, the uncertainty in the volume would be ±0.05 cm for each dimension, which results in an uncertainty of ±0.05 cm³ for the volume.
Therefore, the volume of the rectangular box is 11.4 ±0.1 cm³.