How does increasing the size of an object affect its volume to surface area ratio?

Answer 1

I think as the surface area increases, the volume does too.

Answer 2

correct, but the ratio also increases. The volume grows faster than the area. Consider a cube of side s.

v = s^3
a = 6s^2

v/a = s/6

So, the actual ratio depends on the size of the cube.

No matter what the shape, the ratio of volume to area gets larger and larger as the size increases, because of the extra dimension.

Answer 3

The volume to surface ratio will always stay the same, if simplified, if you keep the same ratio while enlarging or decreasing the size.

If you are gonna use this please change the wording :)

Answer 4

Shush