00:01
In this question, they say the measurement of the edge of a cube is found to be 15 inches, with a possible error of 0 .03 inch.
00:10
I want to use differentials to approximate the possible propagated error in computing the volume of the cube.
00:19
So what have they given us, and what are we trying to find? well, they say that the measurement of the edge has a possible error of 0 .0 .0 .3.
00:30
Inch.
00:32
Let's suppose that the side length of the cube is s.
00:37
Then the error in that side length, the error in s, is going to be 0 .03 this time.
00:45
So they are telling us that ds is equal to 0 .03.
00:52
My goal is to approximate the error in the volume of the cube.
00:58
So the goal in this question is going to be to find dv.
01:03
I want to know what is my dv this time.
01:08
So how can i relate v and s without their differentials? well, this is a cube and i know that the volume of a cube is s cubed...