Respuesta :

Answer:

The required ratio is 2:1

Step-by-step explanation:

Consider the provided information.

The surface area of a six sides cube, is 6s²

It is given that the sides are 3 mm long.

Therefore, the surface area is:

[tex]6s^2=6(3)^2\\=6\times9\\=54[/tex]

Hence, the surface area is 54 mm²

The volume of cube is [tex]s^3[/tex]

Therefore, the volume is:

[tex]s^3=(3)^3\\=27[/tex]

We need to find the ratio of surface-area-to-volume

Therefore the required ratio is:

[tex]\frac{\text{Surface area}}{Volume} =\frac{54}{27}=\frac{2}{1}[/tex]

Hence, the required ratio is 2:1