Final answer:
The volume of a regular prism is calculated by multiplying its length, width, and depth. For a cube, the volume is the cube of its side length. When measuring with uncertainty, the volume is calculated along with its associated uncertainty range.
Step-by-step explanation:
The volume of a regular prism can be found using the formula V = l x w x d, where V is the volume, l is the length, w is the width, and d is the depth of the prism. In the case of a cube, such as a Rubik's cube with each side measuring 5.7 cm, the volume is calculated by V = a³, where a is the length of a side. Therefore, V = 5.7 cm x 5.7 cm x 5.7 cm = 185.2 cm³. Similarly, for the given rectangular prism with dimensions 13.44 dm x 5.920 dm x 2.54 dm, the volume would be computed as V = 13.44 dm x 5.920 dm x 2.54 dm = 202.09459... dm³, which is rounded to 202 dm³, or 202 liters. When dimensions are given with uncertainty, as in the case of the small rectangular box with sides of 1.80 cm, 2.05 cm, and 3.1 cm, the volume with uncertainty is calculated as V = 1.80 cm x 2.05 cm x 3.1 cm = 11.4 cm³ with an uncertainty of ±0.1 cm³, assuming the measuring device is accurate to ±0.05 cm.