00:01
So in this problem, they said if we were to double the length of each edge of the cube, are the surface area and volume also going to get doubled? well, let's start with the original cube that we have.
00:12
Remember, to find the volume, we do length times width times height, which in this case is 3 times 3 times 3.
00:18
Or in other words, 3 raised to the third power.
00:22
And to find the surface area, what you do is you take the area of each face and multiply it by the number of faces.
00:29
Well, in this case, there's six faces in a cube, and the area for each phase is multiplied by the length and width, which is 3 times 3, which can be written as 3 squared.
00:41
So our surface area is 6 times 3 square.
00:44
Now, let's think about this.
00:45
If we were to double each of the side lengths, they would now all be 6es.
00:52
So that means in place of our 3s, we would have 6.
00:55
So the new volume would be 6 raised to the 3rd power, and the new surface area would be 6 times.
01:02
6 to the 2nd power...