Combine geometry and algebra concepts to solve a modeling problem. Young scholars consider the effect surface area has on volume. They write a cubic function to model the possible volume given a specific surface area and then determine the maximum volume.

Concepts

surface area, volume, cubes, volume of rectangular prisms, surface area of prisms, cubic functions

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Additional Tags

math

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Instructional Ideas

• Model the scenario with different-sized cubes by measuring the volume of water they hold
• Incorporate graphing calculators or similar technology when modeling the volume graphically

Classroom Considerations

• Requires the ability to calculate volume and surface area of a cube
  

Pros

• The author provides additional tasks with a similar goal
• Combines multiple topics in a single problem

Cons

• None

Common Core

HSG-GMD.A.3