Mathematics

Problem

A cube has edge length

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}

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

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

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