The dimensions of a closed rectangular box are measured as 95 cm, 62 cm, and 36 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error (to 1 decimal place) in calculating the surface area of the box.

Question

anonymous · Answer

61.8
35.8
62.8
multiply those all together

anonymous · Answer

2(lh) + 2(lw) + 2(wh)
is the formula actually so plug the numbers I just gave you in

anonymous · Answer

So do the surface area of the first box - area of what i just gave you

anonymous · Answer

Do you get it

anonymous · Answer

I am sorry, but could you explain it a bit more? how did you get those values?

anonymous · Answer

-.2 to each of the sides and plug it in to the formula

anonymous · Answer

But we need the max error right, also this is from partial derivatives chapter

anonymous · Answer

I took the partial der of that formula and I am getting 2y dx+ 2zdy +2x dz where x,y,z are dimensions of the rectangular box. and I got 77.2 after plugging in all the values...

anonymous · Answer

Great job so subtract that in to the the previous one

anonymous · Answer

I am getting that wrong though :/

anonymous · Answer

Not sure why...

anonymous · Answer

but thanks!