Respuesta :

Answer: 6 : 5

Step-by-step explanation:

Let a represent the length of a cube , then the surface area is calculated by the formula :

[tex]6a^{2}[/tex]

Substituting the value of the length given , then

A = 6([tex]5^{2}[/tex])

A = 6 (25)

A = 150

Then the volume is calculated with the formula :

V = [tex]a^{3}[/tex]

Substituting the value of a , we have

V = [tex]5^{3}[/tex]

V = 125

Therefore : the ratio of the surface area to the volume is given by

150 : 125

in reduced form , we have

6 : 5