The edge of a cube is decreasing at when the edge length is

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

Problem

The edge of a cube is decreasing at

0.05\,\text{m/s}

when the edge length is

3\,\text{m}

. What is the instantaneous rate of change of the cube’s volume at that moment? (a)

-2.70\,\text{m}^3\!/\text{s}

(b)

+1.35\,\text{m}^3\!/\text{s}

(c)

-1.35\,\text{m}^3\!/\text{s}

(d)

-0.45\,\text{m}^3\!/\text{s}