Engineering Board Exam Reviewer · Differentials and Linear Approximation · medium

The edge of a cube is measured as 5 cm with a possible error of 0.1 cm. Estimate the percent error in the computed volume.

1. 2%
2. 3%
3. 6%
4. 1.2%

Answer

C. 6%

Solution

V=x3 /V=3dx/x=3≤ft(0.1/5 )=0.06, or 6%.

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