Answer:
The perimeter of one face of the smaller cube compared to the perimeter of one face of the larger cube is [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
and
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z-----> the scale factor
x-----> the perimeter of the smaller cube
y ----> the perimeter of the larger cube
[tex]z=\frac{x}{y}[/tex]
in this problem we have
[tex]z=\frac{2}{5}[/tex] ----> scale factor
substitute
[tex]\frac{x}{y}=\frac{2}{5}[/tex]
