Final answer:
To calculate the volume of the small rectangular box, multiply the lengths of its three sides. The volume is 11.4 cm³ ± 0.1 cm³.
Step-by-step explanation:
To calculate the volume of the small rectangular box, we need to multiply the lengths of its three sides. The sides are measured to be 1.80 cm ± 0.01 cm, 2.05 cm ± 0.02 cm, and 3.1 cm ± 0.1 cm. To calculate the volume, we multiply the measured lengths as follows:
Volume = (1.80 cm ± 0.01 cm) x (2.05 cm ± 0.02 cm) x (3.1 cm ± 0.1 cm)
Using the given uncertainties, we can calculate the maximum and minimum values for the volume. By adding and subtracting the uncertainties to the measured lengths, we get the maximum and minimum values for each side. Then, we multiply these values to find the maximum and minimum volumes. Finally, we can express the volume with uncertainty as:
Volume = 11.4 cm³ ± 0.1 cm²