document.write( "Question 977643: The volume of a rectangular storage box i 1440in cubed. It is 20in long, and it is half as tall as it is wide. What is the width and height of the box? \n" ); document.write( "

Algebra.Com's Answer #599209 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"The volume of a rectangular storage box is 1440in cubed\"
\n" ); document.write( "V = 1440\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Length: L = 20\r
\n" ); document.write( "\n" ); document.write( "\"it is half as tall as it is wide\"
\n" ); document.write( "Width = W
\n" ); document.write( "Height: H = W/2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Volume of the box
\n" ); document.write( "V = L*W*H
\n" ); document.write( "V = 20*W*(W/2)
\n" ); document.write( "1440 = 20*W*(W/2)
\n" ); document.write( "1440 = 10*W^2
\n" ); document.write( "10*W^2 = 1440
\n" ); document.write( "W^2 = 1440/10
\n" ); document.write( "W^2 = 144
\n" ); document.write( "W = sqrt(144)
\n" ); document.write( "W = 12\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "H = W/2
\n" ); document.write( "H = 12/2
\n" ); document.write( "H = 6\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Width = 12 inches
\n" ); document.write( "Height = 6 inches\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );