The dimensions of a closed rectangular box are measured as 60 centimeters, 70 centimeters, and 100 centimeters, with an error in e

Question

The dimensions of a closed rectangular box are measured as 60 centimeters, 70 centimeters, and 100 centimeters, with an error in each measurement of at most .2 centimeters. Use differentials to estimate the maximum error in calculating the surface area of the box.

thienthi · Answer

The  maximum error  in calculating the surface area of the  rectangular box  is 184.  What is a Rectangle?  A rectangle is just a  quadrilateral  with equal angles and opposite sides that are equal & parallel. There are several rectangle items all around us. Each rectangle form is distinguished by two dimensions: length and width.   The length of a rectangle is the longer side, while the width is the shorter side.  Now according to the question;  The  total surface area  of the rectangle is;  L= length, W = Width and H = height  A = 2LW + 2WH + 2LH   Differentiating  the area;  dA=[2*(dL)*W+2*L*(dW)]+[2*(dW)*H+2*W*(dH)]+[2*(dL)*H+2*L*(dH)]  dA is the maximum error.  As, the error obtained on each side is same as 0.2.  dL=dW=dH=0.2cm  L=100cm  W=70cm  H=60cm  Simply enter the value into the above calculation, and the resulting value is your  maximum error .  dA=[2*(0.2)*100+2*70*(0.2)]+[2*(0.2)*70+2*60*(0.2)]+[2*(0.2)*60+2*100*(0.2)]   dA=184  Therefore, the maximum error in calculating the surface area of the box is 184.  To know more about the  rectangle,  here   https://brainly.com/question/25292087    #SPJ4

What is a Rectangle?

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