SOLUTION: 106. Surface area of a cube. The formula A=6V^2/3 gives the surface area of 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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Question 59191: 106. Surface area of a cube. The formula A=6V^2/3 gives the surface area of a cube in terms of its volume V. what is the volume of a cube with surface area 12 square feet?
Answer by joyofmath(189) About Me  (Show Source):
You can put this solution on YOUR website!
We are given that A+=+6V%5E%282%2F3%29 and that A+=+12.
We want to solve for V.
12+=+6V%5E%282%2F3%29 or 2+=+V%5E%282%2F3%29.
Raise both sides to the 3/2 power.
Then, 2%5E%283%2F2%29+=+V
This is equivalent to sqrt%282%5E3%29+=+V.
So, V+=+sqrt%288%29 or +V+=+sqrt%284%2A2%29 or V+=+2sqrt%282%29.