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A Sweet Volume: Designing a Jumbo Chocolate Bar Using Polynomials
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Playing the role of engineers in collaborations with the marketing and production teams in a chocolate factory, students design a container for a jumbo chocolate bar. The projects constraints mean the container has to be a regular trapezoidal prism. The design has to optimize the material used to construct the container; that is, students have to find the dimensions of the container with the maximum volume possible. After students come up with their design, teams present a final version of the product that includes creative branding and presentation. The problem-solving portion of this project requires students to find a mathematical process to express the multiple variables in the prism’s volume formula as a single variable cubic polynomial function. Students then use technology to determine the value for which this function has a maximum and, with this value, find the prism’s optimal dimensions.

Subject:
Algebra
Engineering
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
Activities
Author:
Miguel R. Ramirez
Date Added:
04/25/2019