Composite 3D figures

What you'll learn

1. Decompose a composite 3D figure into standard shapes (prisms, cylinders, cones, hemispheres, pyramids)
2. Compute the volume of a composite figure by summing component volumes (additive) or subtracting removed volumes (subtractive)
3. Compute the surface area of a composite figure, correctly removing the contact area where shapes join
4. Distinguish between additive composites (shapes joined together) and subtractive composites (shapes carved out)
5. Solve ACT-style composite figure problems efficiently, selecting the right decomposition and applying memorized formulas

Prerequisites

• Volume of prisms, cylinders, pyramids, cones, spheres
• Surface area of prisms, cylinders, pyramids, cones, spheres