The approximated change in the volume \( V \) of a cube of side \( x \) meters caused by increas...

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The approximated change in the volume \( V \) of a cube of side \( x \) meters caused by increasing side by \( 1 \% \) is
(a) \( 0.03 x^{3} \mathrm{~m}^{3} \)
(b) \( 0.02 x^{3} \mathrm{~m}^{3} \)
(c) \( 0.01 x^{3} \mathrm{~m}^{3} \)
(d) \( 0.04 x^{3} \mathrm{~m}^{3} \)
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