Activity Overview
In this lesson, students take the classic optimization box problem and uses multiple mathematical representations to maximize the volume of the box.
About the Lesson
In this activity, you will create an open-box by taking an 8 ft by 10 ft sheet, cutting out square corners with sides of length x, and then bending up the sides. The goal of this activity is to figure out how to determine the size of the squares that result in the largest volume for the box. *Note: This activity contains an optional AP Practice Questions document for those students preparing for the AP Precalculus Exam.