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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