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The dimensions of a closed rectangular box are measured as 70 centimeters, 50 centimeters, and 100 centimeters, respectively, with the error in each measurement at most .2 centimeters. Use differentials to estimate the maximum error in calculating the surface area of the box.
Answer: ________________ square centimeters
V = LWH
dv = (WH)*DL + (LH)*DW + (LW)*DH
dv = (50)(100)(.2) + (70)(100)(.2)+(70)(50)(.2) = 3100 square centimeters
but the answer is incorrect. am i missing something?
Answer: ________________ square centimeters
V = LWH
dv = (WH)*DL + (LH)*DW + (LW)*DH
dv = (50)(100)(.2) + (70)(100)(.2)+(70)(50)(.2) = 3100 square centimeters
but the answer is incorrect. am i missing something?