SOLUTION: Write an equation that gives the edge length (L) of a cube as a function of the surface area (A) of the cube.

Algebra ->  Surface-area -> SOLUTION: Write an equation that gives the edge length (L) of a cube as a function of the surface area (A) of the cube.      Log On


   



Question 220351: Write an equation that gives the edge length (L) of a cube as a function of the surface area (A) of the cube.
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
There are 6 faces for a cube. Since each edge is L, each "face" of the cube is L^2. The formula for Surface Area is

A= 6L^2

Solve for L, by dividing both sides by 6

A%2F6=L%5E2

Take the square root of each side, and remember that L>0.

L=sqrt%28A%2F6%29+

R^2