Answer:
The maximum error in calculating the surface area of the box is .
Step-by-step explanation:
Differentials are infinitely small quantities. Given a function we call
and
differentials and the relationship between them is given by,
If the dimensions of the box are ,
and
, its surface area is
and
We are given that ,
, and
.
To find the largest error in the surface area, we therefore use together with
An error of 0.2 cm in each dimension could lead to an error of in the calculated surface area.