SOLUTION: Greta is making a cube with a surface area of 24 square feet. If Greta triples the dimensions of the cube, what will the new surface area be?

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Question 78866: Greta is making a cube with a surface area of 24 square feet.
If Greta triples the dimensions of the cube, what will the new surface area be?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
We know the surface area of a cube to be
S=6x%5E2 (since its base*height*number of faces)
Now plug in 24 into the original equation
24=6x%5E2
So lets solve for x
x%5E2=4 Divide both sides by 6
x=2 Take the square root of both sides
So our original dimensions are 2 feet by 2 feet
Now if we triple the original dimensions we get
2*3=6
So plug 6 into x
S=6%286%29%5E2
S=6%2A36
S=216
So the new surface area is 216 sq ft