SOLUTION: The formula A = 6v^2/3 gives the surface area a cube in terms of its volume V. What is the colume of a cube with surface area 12 square feet?

Algebra ->  Radicals -> SOLUTION: The formula A = 6v^2/3 gives the surface area a cube in terms of its volume V. What is the colume of a cube with surface area 12 square feet?      Log On


   

Question 149820: The formula A = 6v^2/3 gives the surface area a cube in terms of its volume V. What is the colume of a cube with surface area 12 square feet?
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
A+=+6%2Av%5E%282%2F3%29
12+=+6%2Av%5E%282%2F3%29
v%5E%282%2F3%29+=+2
cube both sides
v%5E2+=+8
take the square root of both sides
v+=+2%2Asqrt%282%29ft3 answer

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The formula A = 6v^(2/3) gives the surface area a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet?
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12 = 6v^(2/3)
2 = v^(2/3)
v = 2^(3/2)
v = 2sqrt2
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Cheers,
Stan H.