Mathematics: Applications and Interpretation · Topic 3: Geometry and trigonometry

SL3.1 — 3D geometry: distance, midpoint, solids and angles

Mathematics: Applications and Interpretation · SL / HL · syllabus-mapped notes

1. AISL3.1.1

   Distance and midpoint in 3D

   Extend the distance and midpoint formulas to points in three-dimensional space.

2. AISL3.1.2

   Volume and surface area of solids

   Prisms, cylinders, pyramids, cones, spheres and hemispheres.

3. AISL3.1.3

   Combinations of solids

   Add or subtract standard solids to find volumes and surface areas of composite shapes.

4. AISL3.1.4

   Angles in 3D shapes

   Identify right-angled triangles inside a solid to find the angle between two lines or between a line and a plane.