Question
An open-topped box is constructed from a piece of cardboard with a length 2 cm longer
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.
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.
Answers
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
after folding, the box is
(w-12)(w+2-12)6 = 4050
w = 37
so, the original piece was 37x39
1443 cm
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