Answer:
4/3
Step-by-step explanation:
If the ratio between the volumes of the first and the second cube is 64, the ratio between the sides is the cubic root of the ratio between the volumes, so:
[tex]V1 / V2 = 64[/tex]
[tex]s1 / s2 = \sqrt[3]{64} = 4[/tex]
Doing the same for the second and third cubes, we have:
[tex]V2 / V3 = 1/27[/tex]
[tex]s2/ s3 = \sqrt[3]{1/27} = 1/3[/tex]
So the ratio of the first cube side and the third cube side is:
[tex]s1 / s3 = (s1/s2) * (s2/s3) = 4 * (1/3) = 4/3[/tex]
