A cube has a surface area of 6x^+ 48x+96. Find the length of a side? hint, find the GCF first.

## A cube has a surface area of 6x to the 2nd power plus 84x plus 294. Find the length of a side?

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# 1 Answer

6x^{2 }+ 48x + 96 (total surface area of cube)

area of one surface is total surface area divided by 6.

so, area of one surface is (6x^{2 }+ 48x + 96) / 6 --> x^{2 }+ 8x + 16

so length of a side is: √(x^{2 }+ 8x + 16) =** x + 4**

do the same for** **6x^{2 }+ 84x + 294

(6x^{2} + 84x + 294) / 6 --> x^{2 }+ 14x + 49

√(x^{2 }+ 14x + 49) =** x + 7**

# Comments

... with important condition

**1.****x > 4**

*2.* x > 7

did you mean x > -4 and x > -7?

## Comments

Hi Barbara! A cube has only ONE side length to specify -- use the x+4:

one side area: (x+4)(x+4)= x*x + 8x + 16

six sided area: 6x*x + 48x + 96

Ooops! Looks like you do have two different cubes to size up ... x+7 works

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