Question

Identical squares are cut off from each corner of a rectangular piece of cardboard measuring 7cm by 12cm. The sides are then folded up to make a box with an open top. If the volume of the box is 33cm^3, what is the largest possible length of each side of the square?

Answer 1

x (7 - 2x) (12 - 2x) = 33

4x³ - 38x² + 84x - 33 = 0

(9 - √15) / 2