document.write( "Question 902637: the length of a closed box is 3 times its height, and it is 4 cm wide. if the total surface area is 88 cm^2, find the dimensions of the box. \n" ); document.write( "

Algebra.Com's Answer #547418 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi,
\n" );
document.write( ".
\n" );
document.write( "Surface = 2lw + 2lh + 2wh
\n" );
document.write( "Surface = 2(3h)4 + 2(3h)h + 2*4h = 88cm^2
\n" );
document.write( " 6h^2 + 24h + 8h -88 = 0
\n" );
document.write( "6h^2 + 32h - 88 = 0
\n" );
document.write( " 3h^2 + 16h - 44 = 0 (Tossing out the negative solution for unit measure)
\n" );
document.write( "h = 2cm
\n" );
document.write( "l = 6cm
\n" );
document.write( "w = 4cm
\n" );
document.write( "Surface = 2lw + 2lh + 2wh = 48 + 24 + 16 = 88
\n" );
document.write( " \n" );
document.write( "\n" );
document.write( " \n" );
document.write( "\n" );
document.write( "Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation  (in our case ) has the following solutons:
\n" );
document.write( "  
\n" );
document.write( "  
\n" );
document.write( "  
\n" );
document.write( "  For these solutions to exist, the discriminant  should not be a negative number.
\n" );
document.write( "  
\n" );
document.write( "  First, we need to compute the discriminant : .
\n" );
document.write( "  
\n" );
document.write( "  Discriminant d=784 is greater than zero. That means that there are two solutions: .
\n" );
document.write( "  
\n" );
document.write( "    
\n" );
document.write( "    
\n" );
document.write( "    
\n" );
document.write( "    Quadratic expression  can be factored:
\n" );
document.write( "  
\n" );
document.write( "  Again, the answer is: 2, -7.33333333333333.\n" );
document.write( "Here's your graph:
\n" );
document.write( "\n" );
document.write( "  \n" );
document.write( "

\n" );