document.write( "Question 842841: Each side of a cube is 50 cm long. What is the length of the longest metal rod that will fit into this box? Explain how you found your answer \n" ); document.write( "

Algebra.Com's Answer #507930 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
The largest rod would fit from corner to corner.
\n" ); document.write( "Calculate the diagonal of a face.
\n" ); document.write( " $\"D%5E2=S%5E2%2BS%5E2=2S%5E2\"$
\n" ); document.write( "This diagonal and another side length form the legs of the right triangle where the hypotenuse is the corner to corner distance.
\n" ); document.write( " $\"H%5E2=D%5E2%2BS%5E2=3S%5E2\"$
\n" ); document.write( " $\"H%5E2=3%2850%29%5E2\"$
\n" ); document.write( " $\"H=50%2Asqrt%283%29\"$
\n" ); document.write( " \n" ); document.write( "

\n" );