a function that models surface area

[the_slow1]

I need help on this problem it seems fairly easy but I dont know how to go about solving it

the problem reads:

“Find a function that models the surface area S of a cube in terms of its volume.”

the Surface area for a cube is: 6a^2

the volume of a cube is: a^3

("a" represents one side of the cube)

THANKS!

 

[Gene]

V = a^3
a = V^(1/3)
S = 6a^2 = ...

 

[the_slow1]

im lost

i dont understand where to go from this, i was helped earlier:

“Find a function that models the surface area S of a cube in terms of its volume.”

i was given this, do i just subsitute the a in the s equation. well, i did and it seems very weirds i got this: 6(V^1/3)^2

V = a^3
a = V^(1/3)
S = 6a^2 =...

can you help me please?

 

[Gene]

It probably looks weird because you forgot that
(V^(1/3))^2 = V^(2/3)

PS Don't ignore the ()s in
V^(1/3)
v^1/3 = (V^1)/3 = V/3
Look at the Order of Operations
in the lessons to see why.