Hello, JonathanEyoon!

The dimensions of a closed rectangular box are measured as 80cm, 60cm, and 50cm, resp.

with a possible error of 0.2 cm in each dimension.

Use differentials to estimate the maximum error in calculating the surface area of the box.

We are given: . .[1]

The surface area of the box is:

. .

Take differentials:

. .

Substitute values from [1]:

. .

. .