The volume of a cube of side centimetres is increasing at

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

Problem

The volume

V

of a cube of side

x

centimetres is increasing at

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

. Determine the rate at which its surface area

S

is increasing when the volume is

1000\,\text{cm}^{3}