00:01
In this problem we're given a related rates type problem.
00:04
We know it's related rates because in part a and in part p, we're being asked to find the rate in which the volume is changing with respect to time at a specific moment.
00:17
And in the first one, it's when the side length is three.
00:21
And then the second one we're being asked when the side length is 10.
00:27
Now, when we have these problems, we're given a bunch of to bunch of we need to have the volume of the cube, which is v equals side cubed.
00:34
We were given these moments in time for the side, and we should also look for where the other dimensions are changing at a rate.
00:42
We are given that the side is changing at a rate of four centimeters per second meter.
00:52
Okay, and so in order to solve this, we're going to start by taking the derivative of that volume...