If there is an error of a% in measuring the edge of a cube, then percentage error in its surface is (a) 2a% (b) `a/2%` (c) 3a% (d) none of these

Explanation

Correct option is A)

Surface area of cube `{S}=6 {x}^{2}`


`Rightarrow log {S}=log 6+2 log {x}`


On differentiating we get,


`frac{Delta {S}}{{S}}=2 frac{Delta {x}}{{x}} `

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