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Find the approximate change in the su...

Find the approximate change in the surface area of a cube of side `x` metres caused by decreasing the side by 1%.

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Total surface area of a cube of edge x is
`S = 6x^(2)`
`rArr (dS)/(dx) = 12x`
Change in the surface area
` Delta S (dS)/(dx) * Delta x = 12x * Delta x`
` = 12x (-1/100 xx x)`
` = 0.12x^(2) m^(2)` .
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