document.write( "Question 1113550: What is the surface area of a rectangular prism with a length of 14 m, a height of 12 m, and a diagonal of 17.5 m \n" ); document.write( "

Algebra.Com's Answer #728621 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "What is the surface area of a rectangular prism with a length of 14 m, a height of 12 m, and a diagonal of 17.5 m
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "As I understand the condition, 17.5 m is the 3D diagonal, or LONGEST diagonal.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "But it immediately leads to the contradiction:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "     +  = 196 + 144 = 340.\r\n" );
document.write( "\r\n" );
document.write( "     = 306.25.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "As you see, the sum of squares of two edges lengths is greater than the square of the longest 3D diagonal.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Therefore, I think that something is WRONG with the condition.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If 17.5 m is not the 3D diagonal, then the problem MUST say directly and explicitly which EXACTLY diagonal is it.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The problem's formulation should not leave the gap for the student/(tutor) hypotheses or guessing - it is VERY BAD STYLE.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );