An open-topped box is constructed from a piece of cardboard with a length 2 cm longer

Question

than its width. A 6 cm square is cut from each corner and the flaps turned up from the sides
of the box. If the volume of the box is 4050 cm3 , find the dimensions of the original piece of
the cardboard.

Answer 1

original size: w(w+2)
after folding, the box is

(w-12)(w+2-12)6 = 4050
w = 37

so, the original piece was 37x39

Answer 2

1443 cm