Swimming Pool II

This Swimming Pool II assessment also includes:

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.

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CCSS: Adaptable
Additional Tags
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
  • The author provides additional tasks with a similar goal
  • Combines multiple topics in a single problem
  • None
Common Core