The edge of a cube is and is shrinking at

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The edge of a cube is

10\,\text{cm}

and is shrinking at

2\,\text{mm}\,\text{s}^{-1}

. Determine the rate at which the volume of the cube is changing at that instant, expressing your answer in

\text{cm}^3\text{s}^{-1}