Find the value of x that makes the volume maximum. A box with an open top is to be constructed from a square piece of cardboard 3 ft wide by cutting out a square from each of the four corners and bending up the sides. V ll 27 l2 4l V 27l l3 4 You can determine the maximum value of this function using graphing calculator.
The formula for volume of the box is V l l h.
From the diagram we know that x is also the height of the box. A box with an open top is to be constructed from a square piece of cardboard 3 ft wide by cutting out a square from each of the four corners and bending up the sides. The volume of the box since it is just a rectangular prism is length times width times height. This formula is often abbreviated as V l x w x h.