Find the approximate change in the surface area of a cube of side x metres caused by decreasing the side by 1%.
It is given that the surface area of cube (S) of a side x
⇒ S = 6x2
= (12x)Δx
= (12x)(0.01x)
= 0.12x2
Therefore, the approximate change in the surface area of a cube of side x metres caused by decreasing the side by 1% is 0.12x2.
7