How do you calculate the surface area to volume ratio of a cube?

Answer 1

Implied is the fact that a cube has all equal lengths in 3 dimensions so I will call the length of any side = S from here on out.

Surface Area of a cube = A = 6*(S*S) = 6(S^2), because there are 6 sides and each side has an area of S^2

Volume = V = (S*S*S) = (S^3)

Therefore the ratio is: (A/V) = 6(S^2)/(S^3) = 6/S

Surface Area / Volume = 6/S

for any side length, S