Take a dive into a three-dimensional task. Given a specific surface area, individuals must maximize the volume of a cylindrical swimming pool. They combine their understanding of surface area and volume to create a cubic function that models the possible volume of the pool.

Concepts

surface area, surface area of cylinders, volume of cylinders, cubic functions

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Additional Tags

math

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Instructional Ideas

• Use as a performance task during a unit on surface area and volume
• Encourage pupils to use multiple representations such as table and graphs

Classroom Considerations

• Requires proficiency with calculating surface area and volume of a cylinder

Pros

• Provides a worked-out solution guide
• Combines several concepts in a single task

Cons

• None

Common Core

HSF-BF.A.1.a HSG-GMD.A.3