SOLUTION: A cube has a surface area of 6x^2+12+6 Find the length of a side. (Hint: First factor out the GCF.)

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Question 478620: A cube has a surface area of 6x^2+12+6 Find the
length of a side. (Hint: First factor out the GCF.)

Found 2 solutions by nerdybill, solver91311:
Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website!
Factoring:
6x^2+12+6
6(x^2+2+1)
6(x+1)(x+1)
Length of each side is 6 (solution)
.
Note:
x = 5 but this is not what the problem is asking

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

A cube consists of six identical faces. If the surface area of the entire cube is , then the area of one of the six faces must be .

Each of the faces of the cube is a square with side measure , and therefore has an area of . So now we know that:

Therefore

But

And finally:

John

My calculator said it, I believe it, that settles it