Question
A rectangular sheet of tin 45 cm by 24 cm is to be made into a box without top, by cutting off squares from each corner and folding up the flaps. What should be side of the square to be cut off so that the volume of he box is maximum?
Solution
Let x (0 < x < 12) cm, be the length of each side of the square which is to be cut from each corner of the rectangular tin sheet of size 45 cm by 24 cm. Let V the volume of the open box formed by folding up the flaps.
But x = 5 is the only extreme point
But x = 5 is the only extreme point
