Question

To determine the relationship between the volume of a cube and surface area it will hold.

Answer 1

Volume of a cube, `V = a^3`
The surface area of a cube, `S = 6a^2`
`S= 6a^2=>a^2 = S/6=>a = (S/6)^(1/2)`
So, `V = (S/6)^(3/2)`
Above is the relation between surface area and volume of a cube.