Question

Brainliest + 20 Points!

Answer 1

Answer:

The perimeter of one face of the smaller cube compared to the perimeter of one face of the larger cube is $\frac{2}{5}$

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

$z=\frac{x}{y}$

in this problem we have

$z=\frac{2}{5}$ ----> scale factor

substitute

$\frac{x}{y}=\frac{2}{5}$