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

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

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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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1 Answer

6x2 + 48x + 96 (total surface area of cube)

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

so, area of one surface is (6x2 + 48x + 96) / 6 --> x2 + 8x + 16

so length of a side is:  √(x2 + 8x + 16)  = x + 4

do the same for  6x+ 84x + 294

(6x2 + 84x + 294) / 6 --> x2 + 14x + 49

√(x+ 14x + 49) = x + 7

Comments

... with important condition
1. x > 4
2. x > 7

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

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