00:01
For this problem, we're going to be solving a related rates problem, where we're given that the eight edges of a cube are expanding at a rate of six centimeters per second.
00:12
All right, so in a cube, each side is a square, and we're looking for how fast the surface area is changing when the cube is two centimeters and then 14 centimeters.
00:26
All right, so since each square or each side is a square, the surface area is going to be six times the side squared.
00:38
All right, the six means that there are six spaces, six, we have a top, a bottom, a left, or right, a front, and the back.
00:46
All right, so we have six squares making up the area of six times the side squared.
00:52
All right, so for this problem, we know that d -a -d -t, no, that's not, let me back up, we know that d -s -d -t is equal to 6.
01:17
We want to find, how fast is the surface area changing, we want to find d -a -d -t when, at two different times, or two different scenarios, when s is equal to two, and also when s is equal to 14...