Packaging Precision Slides
Slide deck for Lesson 2, covering geometric optimization in packaging. Includes the derivation of the optimal cylinder, the First and Second Derivative Tests, and industrial context for why theoretical optima differ from real products.
Soda Can Challenge Activity
Student activity worksheet for Lesson 2, guiding students through the calculus of the "Soda Can Problem" to find dimensions that minimize surface area for a fixed volume. Includes a verification step and a real-world comparison.
Packaging Proofs Answer Key
Detailed answer key and teacher resource for the Lesson 2 "Soda Can Challenge," featuring the full derivation, numerical solutions for a 500mL can, efficiency comparisons, and a grading rubric.