Find the approximate change in the volume V of a cube of side x metres caused by increasing the side by 1%.
It is given that the volume of a cube (V) of a side x
⇒ V = x3
= (3x2)Δx
= (3x2)(0.01x)
= 0.03x3
Therefore, the approximate change in the volume V of a cube of side x metres caused by increasing the side by 1% is 0.03x3.
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