Curated OER
Maximum Volume of a cuboid and open-topped box
In this Algebra II/Pre-Calculus worksheet, students investigate the maximum volume of a cuboid and the maximum volume of an open-topped box. Additionally, students determine the acceptable size for boxes to meet parcel service...
Texas Instruments
Texas Instruments: Box It Up (A Graphical Look)
Students graph the relationship between the length of the sides of the cut-out squares and the volume of the resulting box. They trace the graph to decide the best square-size which can result in a box of maximum volume.
Texas Instruments
Texas Instruments: Confectionery Delight
Students first make physical models using paper and scissors to get a grasp of the problem and to determine how to set it up. They then use the CAS of the TI-89 and calculus to determine the dimensions of the box which gives the maximum...