SOLUTION: A cube has a surface area of 6x^2+84x+294. I need to find the length of a side. Help..please?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A cube has a surface area of 6x^2+84x+294. I need to find the length of a side. Help..please?      Log On


   

Question 755281: A cube has a surface area of 6x^2+84x+294. I need to find the length of a side. Help..please?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
6x^2+84x+294 (surface area of cube)
.
Since there are 6 sides to a cube, each side must have an area of:
(6x^2+84x+294)6
x^2+14x+49 (area of each side)
factoring:
(x+7)(x+7)
(x+7)^2
.
therefore:
x+7 (length of each side)