document.write( "Question 315158: Find the length of the diagonal of a side of a cubic packing crate whose volume is 2 cubic meters. \n" ); document.write( "

Algebra.Com's Answer #225457 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
The volume of a cube is,
\n" ); document.write( " $\"V=s%5E3=2\"$
\n" ); document.write( " $\"s=root%283%2C2%29\"$
\n" ); document.write( "The distance of the diagonal is the same as the distance from ( $\"0\"$ , $\"0\"$ , $\"0\"$ ) to ( $\"root%283%2C2%29\"$ , $\"root%283%2C2%29\"$ , $\"root%283%2C2%29\"$ )
\n" ); document.write( "Use the distance formula,
\n" ); document.write( " $\"D%5E2=%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%2B%28z2-z1%29%5E2\"$
\n" ); document.write( "

\n" ); document.write( " $\"D%5E2=3%2A%28root%283%2C2%29%29%5E2\"$
\n" ); document.write( " $\"D=sqrt%283%29%2A%28root%283%2C2%29%29\"$ \n" ); document.write( "

\n" );