Effects of scaling on area and volume

What you'll learn

1. Explain and apply the rule: if linear dimensions are scaled by factor k, area scales by k^2
2. Explain and apply the rule: if linear dimensions are scaled by factor k, volume scales by k^3
3. Solve SAT-style problems asking how area or volume changes when a dimension is doubled, tripled, or halved
4. Work backward from an area or volume ratio to find the linear scale factor

Prerequisites

• Area of common 2D shapes and composite figures
• Volume of 3D solids (prisms, cylinders, cones, pyramids, spheres)