document.write( "Question 610367: four grapefruit (considered spheres) 4 in. in diameter are placed in a square box whose inside base dimensions are 8 in. in the space between the first 4 grapefruit a fifth of the same diameter is placed. how deep must the box be in order that the top will just touch the fifth grapefruit. \n" ); document.write( "
Algebra.Com's Answer #384400 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
the centers of the five grapefruit form a square pyramid\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "all the edges of the pyramid have a length of 4in\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the base of the pyramid is 2in above the base of the box, and the apex is 2in below the top of the box
\n" ); document.write( "
\n" );