# Math Help - volume change integral problem

1. ## volume change integral problem

I am studying for a vector calc final and one of the old exams has a question I do not know how to attack with calculus or anything else for that matter!

The length of a box is increasing at 2 feet per minute. The width is decreasing at 3 feet per minute. While the height is increasing at 4 feet per minute. Find the rate of change of the volume when
the length is 10 feet
the width is 15 feet and
the height is 18 feet

Thanks and good luck to all of you facing finals! Frostking

2. V=lwh, so $dV=(l)(w)(Dh)+(l)(Dw)(h)+(Dl)(w)(h)$

and at that moment in time

$l=10, w=15, h=18, Dl=2, Dw=-3, Dh=4$.

and I give finals, Bwahhaha