Question 811373
Width = x
Length = 2x
Cutting 3 inch square from each corner:
Width = x - 6
Length = 2x - 6
Volume of rectangular box
= length * width * height
= (2x - 6)*(x - 6)*(3) = 648
= 6x^2 - 54x + 108 = 648
= 6x^2 - 54x - 540 = 0
Divide thro'out by 6
= x^2 - 9x - 90 = 0
= (x + 6)(x - 15)= o
x = -6 (no answer as x < 0)
x = 15 inches.
Width = 9 inches
Length = 24 inches.
Height = 3 inches.
Hope this helps.
:-)