The sides of a small rectangular box are measured to be 1.80±0.01 cm, 2.05±0.02 cm, and 3.1±0.1 cm long. Calculate its volume and uncertainty in cubic centimeters.
The average volume of the box is
The percent uncertainty for each of the dimensions:
The percent uncertainty in the volume of the box is calculated by adding the percent uncertainties of the dimensions.
The uncertainty of the volume is
Therefore, the volume is