Volume of a Orthohedron: How many times does the shape fit inside of another shape?

Shown below is a small cuboid inside a larger cuboid.

AB = DF

BE = FG

$AC=\frac{1}{4}AD$

How many times the small cuboid can fit inside the large cuboid?

4

Shown below is a large cuboid with a small cuboid inside it.

$AB=\frac{1}{3}AC$

$AD=\frac{1}{3}AE$

$BF=\frac{1}{3}CK$

How many times does the small cuboid fit into the large cuboid?

27

Shown below is a large cuboid with a smaller cuboid inside of it.

$AB=\frac{1}{8}AC$

$BF=\frac{1}{8}CG$

$AD=\frac{1}{8}AE$

How many times does the small cuboid fit inside the larger cuboid?

512