The volume of the rectangular box is 11.4 cm³ with an uncertainty of ±0.1 cm³.
The volume of a regular object can be calculated by multiplying its length by its width and height. In this case, the rectangular box has a length of 1.80 cm, a width of 2.05 cm, and a height of 3.1 cm. To find the volume, multiply these three measurements together: 1.80 cm x 2.05 cm x 3.1 cm = 11.4 cm³.
The uncertainty in the measurements is ±0.05 cm. To calculate the uncertainty in the volume, we need to calculate the maximum and minimum values of the volume.
The maximum volume is calculated by adding the maximum value of each measurement: (1.80 + 0.05) cm x (2.05 + 0.05) cm x (3.1 + 0.05) cm = 11.4 + 0.1 cm³. The minimum volume is calculated by subtracting the minimum value of each measurement: (1.80 - 0.05) cm x (2.05 - 0.05) cm x (3.1 - 0.05) cm = 11.4 - 0.1 cm³.