Mathematics

Problem

The volume of a cube is increasing at

64\,\text{cm}^3\!\text{/s}

when its edge length is

4\,\text{cm}

. Find the rate at which the edge length is increasing at that instant. a)

\dfrac{1}{3}\,\text{cm/s}

\dfrac{4}{3}\,\text{cm/s}

\dfrac{16}{3}\,\text{cm/s}

\dfrac{2}{3}\,\text{cm/s}