Surface area of a cube

[DEvans]

Hi,
I have this math problem and need help...
Surface area of a cube. The formula gives the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet.

I know this:
Volume: V =LWH
Surface Area: A = 2LW + 2WH + 2LH

Thank for your help.

 

[Denis]

Hi,
I have this math problem and need help...
Surface area of a cube. The formula gives the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet.
I know this:
Volume: V =LWH
Surface Area: A = 2LW + 2WH + 2LH
Thank for your help.

With a cube, L = W = H.
So keep it simple: let x = side length of cube; so:
V = x^3
A = 2x^2 + 2x^2 + 2x^2 = 6x^2; since given area = 12, then 6x^2 = 12.

Can you finish it?