document.write( "Question 457307: Find the length of the diagonal of a cube with side length 10cm.\r
\n" ); document.write( "\n" ); document.write( "Thank you. \n" ); document.write( "

Algebra.Com's Answer #313784 by poliphob3.14(115) $\"\"$ $\"About$

You can put this solution on YOUR website!
First using Pythagorean Theorem we find the diagonal of one side:\r
\n" ); document.write( "\n" ); document.write( " $\"10%5E2%2B10%5E2=x%5E2\"$ => $\"x=10sqrt%282%29\"$ cm. Using again the Pythagorean Theorem\r
\n" ); document.write( "\n" ); document.write( "we find the diagonal of the cube: $\"d%5E2=%2810sqrt%282%29%29%5E2%2B10%5E2\"$ => $\"d%5E2=sqrt%28300%29\"$ \r
\n" ); document.write( "\n" ); document.write( "=> $\"d=10sqrt%283%29\"$ cm.\r
\n" ); document.write( "\n" ); document.write( "Answer:The diagonal of the cube is $\"10sqrt%283%29\"$ cm. \n" ); document.write( "

\n" );