Mathematics: Analysis and Approaches · Topic 3: Geometry and trigonometry
SL3.1 — 3D geometry: distance, volume and angles
Mathematics: Analysis and Approaches · SL / HL · syllabus-mapped notes
Distance and midpoint in 3D
Extend Pythagoras to three dimensions to find the distance between two points and their midpoint.
Volume and surface area of solids
Volume and surface area of pyramids, cones, spheres, hemispheres and combined solids.
Angles in three dimensions
Find the angle between two intersecting lines, or between a line and a plane, using right-angled triangles.