document.write( "Question 952435: find the dimensions of an open box whose base is a rectangle whose length is twice its width. if its volume is 176 cubic feet and the totals surface area is 164 square feet
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #581716 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Find the dimensions of an open box whose base is a rectangle whose length is twice its width.
\n" ); document.write( " if its volume is 176 cubic feet and the totals surface area is 164 square feet
\n" ); document.write( ":
\n" ); document.write( "Vol: L * W * h = 176
\n" ); document.write( "and
\n" ); document.write( "S.A.: (L*W) + 2(L*h) + 2(W*h) = 164
\n" ); document.write( ":
\n" ); document.write( "\"length is twice its width.\"
\n" ); document.write( "L = 2W
\n" ); document.write( "Replace L with 2W
\n" ); document.write( "Vol: 2W * W * h = 176
\n" ); document.write( "2W^2*h = 176
\n" ); document.write( "Simplif, divide by 2
\n" ); document.write( "W^2h = 88
\n" ); document.write( "h = \"88%2FW%5E2\"
\n" ); document.write( ":
\n" ); document.write( "S.A.: 2W^2 + 2(2W*h) + 2(W*h) = 164
\n" ); document.write( "Simplify,divide by 2
\n" ); document.write( " W^2 + 2Wh + Wh = 82
\n" ); document.write( " W^2 + 3Wh = 82
\n" ); document.write( "replace h with \"88%2FW%5E2\"
\n" ); document.write( "W^2 + 3W(\"88%2FW%5E2\") = 82
\n" ); document.write( "W^2 + \"264%2FW\" - 82 = 0
\n" ); document.write( ":
\n" ); document.write( "Plot this equation
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-6%2C+10%2C+-20%2C+20%2C+x%5E2%2B%28264%2Fx%29-82%29+\"
\n" ); document.write( "Using the integer solution: w = 4 ft is the width
\n" ); document.write( "then 2(4) = 8 ft is the length
\n" ); document.write( "Find the height
\n" ); document.write( "h = \"88%2F4%5E2\"
\n" ); document.write( "h = 5.5 ft is the height
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this, find the surface area with these dimensions
\n" ); document.write( "(8*4) + 2(8*5.5) + 2(4*5.5) =
\n" ); document.write( "32 + 88 + 44 = 164
\n" ); document.write( "
\n" ); document.write( "
\n" );