The volume of a cube is increasing at when its edge length is

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

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}

(b)

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

(c)

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

(d)

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