If there is an error of a% in measuring the edge of a cube, then percentage error in its surface is

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KollegeApply · Accepted Answer

(a) 2a% Let x be the side of the cube and y be its surface area. ∆ x/x $\times$ 100 = a \text { Also }, y = 6 x^2 \Rightarrow dy/dx = 12x \Rightarrow ∆ y/y = 12x/y $\times$ dx = 2/x $\times$ ax/100 \Rightarrow ∆ y/y $\times$ 100 = 2a \text { Hence, the error in the surface area is} \text{ 2a} . %

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