All the edges of a cube are expanding at a rate of $1/6 cm / sec$ . Determine the rate of change of the volume of the cube when the edge length is $4 cm$ . A) $\frac{d V}{d t} = \frac{32}{3}$ B) $\frac{d V}{d t} = 8$ C) $\frac{d V}{d t} = \frac{1}{216}$ D) $\frac{d V}{d t} = 64$ E) $\frac{d V}{d t} = 48$

Question

All the edges of a cube are expanding at a rate of

1/6 cm / sec

. Determine the rate of change of the volume of the cube when the edge length is

4 cm

. A)

\frac{d V}{d t} = \frac{32}{3}

B)

\frac{d V}{d t} = 8

C)

\frac{d V}{d t} = \frac{1}{216}

D)

\frac{d V}{d t} = 64

E)

\frac{d V}{d t} = 48

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