00:01
In this question, we're given the volumes of two similar prisms are 821 cubic centimeters and 33 cubic centimeters.
00:12
The surface area of the larger one is 153 cubic square centimeters and we'll be finding the surface area of the smaller prism.
00:23
So the ratio of their volumes, let me just call this v1 to v2, equals 891 to 33.
00:37
Now if we simplify this ratio, it's going to be 27 is to 1 because we can divide both terms by 33.
00:49
So 27 is to 1, not 11.
00:54
So 27 is to 1.
00:55
Now the next thing is to find the linear scale factor.
01:01
Now the linear scale factor.
01:03
Or the ratio of the volume or the ratio of the sides or lengths is given as follows.
01:11
So the length of one to the length of the other is going to be the cube root of the volume scale factor.
01:19
So we're going to get a cube root of each of these numbers.
01:21
So the cube root of 27 is 3 and the cube root of 1 is 1.
01:26
So that's the ratio of the lengths...