The approximate change in the volume of a cube of side x metres caused by increasing the side by 3% is


It is given that the volume of a cube (V) of a side x


V = x3


dV =


= (3x2)Δx


= (3x2)(0.03x)


= 0.09x3


Therefore, the approximate change in the volume of a cube of side x metres caused by increasing the side by 3% is 0.09x3.

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