The dimensions of a closed rectangular box are measured
as80cm, 60 cm, 50cm, respectively, with a possible error of .2 cm
ineach dimension. use differentials to estimate the maximumerror in
calculating the surface area of the box.

The maximum error in  calculating the surface area of the box is 152 square cm.

Step-by-step explanation:

We are given the following information in the question:

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

Possible error = 0.2 cm

Surface area of rectangular box =

where l, b and h are the length, breadth and height of the rectangular box respectively.

Change in area =

Putting the values, we get,

Change in area =

The maximum error in  calculating the surface area of the box is 152 square cm.

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

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