Final answer:
To find dg in a cuboid, use the Pythagorean theorem in three dimensions. The volume can be found via V=l*w*h, but dg's length cannot be computed without the cuboid's dimensions.
Step-by-step explanation:
To calculate the length of dg in a cuboid, we would typically use the Pythagorean theorem, which is applied in three dimensions in this case. However, there is not enough information provided to solve this directly. Normally, one would need the lengths of the cuboid's three edges, which are not provided in the information above.
For volume calculation, as in the example provided: the sides of the cuboid are 1.80 cm, 2.05 cm, and 3.1 cm, we use the formula for volume V = l×w×h, where l is length, w is width, and h is height. However, regarding the uncertainty, since each measurement has an uncertainty of ±0.05 cm, we perform a calculation considering the possible variance in each dimension.
If we had the appropriate dimensions, the step-by-step process would involve finding the diagonal of the base rectangle using the formula dbase = √(l² + w²), and then find the space diagonal using the formula dg = √(dbase² + h²).