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.

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

x = 23.78

step-by-step explanation: