document.write( "Question 338802: a rectangular solid has a volume of 640 cu.units.the width is 3 units more than the height and the length is 1 unit more than three times the height. find the dimension of the solid \n" ); document.write( "
Algebra.Com's Answer #242979 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
a rectangular solid has a volume of 640 cu.units.the width is 3 units more than
\n" ); document.write( " the height and the length is 1 unit more than three times the height.
\n" ); document.write( " find the dimension of the solid
\n" ); document.write( ":
\n" ); document.write( "Let x = the height
\n" ); document.write( "then
\n" ); document.write( "(x+3) = width
\n" ); document.write( "and
\n" ); document.write( "(3x+1) = length
\n" ); document.write( ";
\n" ); document.write( "x(x+3)(3x+1) = 640
\n" ); document.write( "x(3x^2 + x + 9x + 3) = 640
\n" ); document.write( "x(3x^2 + 10x + 3)
\n" ); document.write( "3x^3 + 10x^2 + 3x - 640 = 0
\n" ); document.write( ":
\n" ); document.write( "Plot this equation, find the x intercept
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-6%2C+10%2C+-700%2C+300%2C+3x%5E3+%2B+10x%5E2+%2B+3x+-+640%29+\"
\n" ); document.write( ":
\n" ); document.write( "x = 5 is the height
\n" ); document.write( "then
\n" ); document.write( "5 + 3 = 8 is the width
\n" ); document.write( "and
\n" ); document.write( "3(5) + 1 = 16 is the length
\n" ); document.write( ":
\n" ); document.write( "Check: 5 * 8 * 16 = 640 cu/units
\n" ); document.write( " \n" ); document.write( "
\n" );