You can
put this solution on YOUR website!let x=width
"The length of a rectangular box is one inch greater than its width" __ x+1
"the height is three times the length" __ 3(x+1) __ 3x+3
"The diagonal of the box exceeds the height by one inch" __ 3x+3+1 __ 3x+4
x^2+(x+1)^2+(3x+3)^2=(3x+4)^2 __ x^2+x^2+2x+1+9x^2+18x+9=9x^2+24x+16
subtracting 9x^2+24x+16 __ 2x^2-4x-6=0 __ dividing by 2 __ x^2-2x-3=0
factoring __ (x-3)(x+1)=0 __ x=3 and x=-1 __ negative value not realistic
volume __ x(x+1)(3x+3) __ 3(4)(12) __ 144
