A cube has edge length

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

Problem

s(t)=2t^{2}+3\;\text{cm}

, where

t

is the time in seconds. Determine the rate at which its volume is changing when

t=2\,\text{s}

. (a)

2662\,\text{cm}^{3}\text{s}^{-1}

(b)

2904\,\text{cm}^{3}\text{s}^{-1}

(c)

1452\,\text{cm}^{3}\text{s}^{-1}

(d)

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