00:01
Hello everyone, in this problem we are given that the side of a cube is measured as 20 inches.
00:11
So, now let us take the side of the cube to be a.
00:20
So, now a will be equal to 20 inches and we are given that there is an error of 0 .02 that is plus or minus 0 .02.
00:29
So, we have the error as del a to be equal to plus or minus 0 .02 inches.
00:37
So, also now let us take now we need to find the error and the relative error also we are given that the surface area of the cube is 2400 square inches.
00:53
So, now let us take s to be the surface area of the cube.
01:04
So, by the formula surface area of a cube will be given as surface area of cube will be sorry s for a cube will be it is of a square.
01:24
So, here the side is given here as a.
01:28
So, it is surface area of the cube is 6a square.
01:34
So, here the side of a cube is a.
01:37
So, it is 6a square.
01:41
So, also we are given that the surface area of the cube as 2400 square inches.
01:52
Now equating these two values we get 6a square to be equal to 2400.
01:58
So, from this we get the value of a square to be equal to 2400 divided by 6.
02:04
So, we get the value of a square to be 400.
02:08
So, from this we get the value of a to be 20.
02:13
So, in order to find the error and the relative error.
02:17
So, first we differentiate with the surface area with respect to a...