document.write( "Question 148364: Calculate the volume of a cube that has a surface area of 12cm? \n" ); document.write( "
Algebra.Com's Answer #108755 by Earlsdon(6294)\"\" \"About 
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The total surface area of a cube consists of the sum of the areas of each of the six faces.
\n" ); document.write( "If the area of one face is \"x%5E2\", then the total surface area of the cube is \"6x%5E2\" and, you are told that this is 12 cm, so...
\n" ); document.write( "\"6x%5E2+=+12\" Solve for x. Divide both sides by 6.
\n" ); document.write( "\"x%5E2+=+2\"sq.cm. This is the area of one face, and, since the faces are squares, you can find the length of one side of the face by taking the square root.
\n" ); document.write( "\"x+=+sqrt%282%29\"cm
\n" ); document.write( "Now that you have the length of one edge of the cube, you can find its volume by cubing this.
\n" ); document.write( "\"V+=+%28sqrt%282%29%29%5E3\"
\n" ); document.write( "\"V+=+2sqrt%282%29\" cu.cm. This is the exact volume of the cube.
\n" ); document.write( "If you want the approximate value, find the square root of 2.
\n" ); document.write( "\"V+=+2%281.414%29\"
\n" ); document.write( "\"V+=+2.83\"cu.cm.
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