Q.

If the side of a cube is increasing at the rate of 2 units per secthen the rate of change in its volume when side is 6 units is

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a

25  cubic units per sec

b

216 cubic units per sec

c

100 cubic units per sec

d

2.5 cubic units per sec

answer is B.

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Detailed Solution

dxdt=2,     x=6         volume v=x3        dvdt=3x2dxdt        =3×36×2          = 216
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If the side of a cube is increasing at the rate of 2 units per secthen the rate of change in its volume when side is 6 units is