The edge of a cube was found to have a length of 50 cm with a possible error in measurement of 0.1 cm. Based on the measurement, you determine that the volume is 125,000 cm3. Use tangent line approximation to estimate the percentage error in volume.

2 answers

v = s^3
dv = 3 s^2 ds
at s = 50 v = 125,000
dv = 3 (2500) ds = 7500(.1) = 750

100 (750/125,000) = .6 %
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