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