Final answer:
To solve for the length of the unlabeled side of a shape based on its perimeter, one would typically use the formula P = 2l + 2w. However, without specific measurements for either the length or width, we cannot provide an answer. The examples provided are related to calculating volume and uncertainty, which require a different set of information.
Step-by-step explanation:
To find the length of the unlabeled side when the perimeter of a shape is given, we use the formula for the perimeter of a rectangle: P = 2l + 2w, where P represents the perimeter, l represents the length, and w represents the width. If we know the perimeter and one of the other dimensions, we can rearrange this formula to solve for the missing side. In the context of this student's question, we do not have specific numbers for the length and width, so we cannot calculate directly. We would need either the length or width to find the unlabeled side.
However, with the given examples, we can find out volumes and uncertainties of a rectangular box. Using the formula for volume, V = l × w × h, you can calculate the volume by multiplying the length, width, and height of the box. To calculate the uncertainty, you apply the maximum possible error to each measurement, which is the accuracy of the measuring device, and then combine these to find the overall uncertainty in the volume.
For example, the volume of a box with sides 1.80 cm, 2.05 cm, and 3.1 cm, with an accuracy of ±0.05 cm would be V = 1.80 × 2.05 × 3.1 = 11.4 cm³. To find the uncertainty, you'd multiply each side length by its uncertainty, add those values together, and multiply that sum by the original volume to find the resulting volume uncertainty.