Final answer:
The volume of the given small rectangular box with dimensions 1.80 cm by 2.05 cm by 3.1 cm is 11.463 cubic centimeters, when calculated without considering the uncertainty.
Step-by-step explanation:
The volume of a rectangular prism can be 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. To find the volume, we multiply these dimensions together:
Volume = Length × Width × Height
Volume = 1.80 cm × 2.05 cm × 3.1 cm
After performing the calculation, we get:
Volume = 11.463 cm³
Since the measuring device has an accuracy of ±0.05 cm, we consider this uncertainty in the calculation. However, the question only asks for the volume in simplest terms, so we report the volume without considering the uncertainty:
The volume of the rectangular prism is 11.463 cubic centimeters.