document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #41911 by joyofmath(189) $\"\"$ $\"About$

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We are given that $\"A+=+6V%5E%282%2F3%29\"$ and that $\"A+=+12\"$ .
\n" ); document.write( "We want to solve for V.
\n" ); document.write( " $\"12+=+6V%5E%282%2F3%29\"$ or $\"2+=+V%5E%282%2F3%29\"$ .
\n" ); document.write( "Raise both sides to the 3/2 power.
\n" ); document.write( "Then, $\"2%5E%283%2F2%29+=+V\"$
\n" ); document.write( "This is equivalent to $\"sqrt%282%5E3%29+=+V\"$ .
\n" ); document.write( "So, $\"V+=+sqrt%288%29\"$ or $\"+V+=+sqrt%284%2A2%29\"$ or $\"V+=+2sqrt%282%29\"$ . \n" ); document.write( "

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