document.write( "Question 630365: The diagonal of one face of a cube is 5√2 centimeters long. What is the total area of the cube? \n" ); document.write( "

Algebra.Com's Answer #396894 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The diagonal of one face of a cube is 5√2 centimeters long.
\n" ); document.write( " What is the total area of the cube?
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\n" ); document.write( "let s = side of the cube
\n" ); document.write( "Using pythag: a^2 + b^2 = c^2
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\n" ); document.write( " $\"s%5E2+%2B+s%5E2+=+%285sqrt%282%29%29%5E2\"$
\n" ); document.write( " $\"2s%5E2+=+25%282%29\"$
\n" ); document.write( "Divide both sides by 2
\n" ); document.write( " $\"s%5E2+=+25\"$ sq/cm the area of one side of the cube
\n" ); document.write( "then
\n" ); document.write( "6(25) = 150 sq/cm total of the 6 sides of the cube
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