Chapter 6.9

Thinking in Three Dimensions

Name: Thinking in Three Dimensions
Description: Most 3D problems on the AMC become 2D problems once you find the right slice or unfold the right net.

Most 3D problems on the AMC become 2D problems once you find the right slice or unfold the right net.

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By the end

01Find volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres
02Unfold solids into nets and find cross-sections
03Find space diagonals and distances inside boxes

In unit 6

6.1Angles, Polygons, and the Triangle Inequality
6.2Right Triangles
6.3Similar Triangles
6.4Area by Pieces and Ratios
6.5Circles: Angles and Measure
6.6Tangent Lines and Circles
6.7Coordinates and Lattice Points
6.8Moves and Shapes
6.9Thinking in Three Dimensions
6.10Which Idea Opens It? Geometry