Question 78866
We know the surface area of a cube to be

{{{S=6x^2}}}      (since its base*height*number of faces)

Now plug in 24 into the original equation

{{{24=6x^2}}}

So lets solve for x

{{{x^2=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(6)^2}}}

{{{S=6*36}}}

{{{S=216}}}

So the new surface area is 216 sq ft