document.write( "Question 636313: A box has a square top and bottom. The height of the box is 5cm. Find its volume if the total surface area is 192cm^2 \n" ); document.write( "
Algebra.Com's Answer #400968 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"Volume+=+length%2Awidth%2Aheight\"...where, in your case, \"length=width\"\r
\n" ); document.write( "\n" ); document.write( "so, \"Volume+=+length%5E2%2A5cm\"\r
\n" ); document.write( "\n" ); document.write( "\"Surface_+area=SA%29+\"...= >...surface areas of all the sides\r
\n" ); document.write( "\n" ); document.write( "Two sides have square areas and the other four sides have rectangular areas:\r
\n" ); document.write( "\n" ); document.write( "\"SA+=+x%5E2+%2B+x%5E2+%2B+5x+%2B+5x+%2B+5x+%2B+5x+\"\r
\n" ); document.write( "\n" ); document.write( "\"SA+=+2x%5E2+%2B+20x+\"\r
\n" ); document.write( "\n" ); document.write( "given: \"SA=192\"\r
\n" ); document.write( "\n" ); document.write( "\"192=2x%5E2+%2B20x+\"\r
\n" ); document.write( "\n" ); document.write( "or
\n" ); document.write( "\"2x%5E2+%2B20x=192\"\r
\n" ); document.write( "\n" ); document.write( "\"2x%5E2+%2B20x-192=0\"......divide by \"2\" and solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B10x+-+96+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x+%2B+16%29%28x+-+6%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+6+cm\" or \"x=-16cm\"\r
\n" ); document.write( "\n" ); document.write( "Pick only \"x+=+6+cm\", since length is \"positive\".\r
\n" ); document.write( "\n" ); document.write( "Now use \"x+=+6cm\" in the volume equation\r
\n" ); document.write( "\n" ); document.write( "\"V+=+%286cm%29%5E2%2A5cm+=+36cm%5E2%2A5cm=180cm%5E3\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );