Q.

Find the approximate change in the volume V of a cube of side ‘x’ meters  caused by increasing the side by 3%

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a

0.09 x3  m3

b

9 x3  m3

c

0.9 x3  m3

d

0.1 x3  m3

answer is A.

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Detailed Solution

Note that V=x3 dV=dVdxΔx =3x2Δx =3x2(0.03x) =0.09x3m3 Thus, the approximate change in volume is 0.09x3m3
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Find the approximate change in the volume V of a cube of side ‘x’ meters  caused by increasing the side by 3%