Volumes of Complex Solids

Type of Resource



Challenged with a hypothetical engineering work situation in which they need to figure out the volume and surface area of a nuclear power plant’s cooling tower (a hyperbolic shape), students learn to calculate the volume of complex solids that can be classified as solids of revolution or solids with known cross sections. These objects of complex shape defy standard procedures to compute volumes. Even calculus techniques depend on the ability to perform multiple measurements of the objects or fin

Performance Expectations

HS-ETS1-2   Design a solution to a complex real-world problem by breaking it down into smaller, more manageable problems that can be solved through engineering.