What you need to know
Check yourself against these “I can” statements.
- I can use Pythagoras' theorem in 3D shapes
- I can use sin, cos and tan to find lengths and angles in 3D shapes
Practise this topic
5 resources3D Trigonometry
Cuboids and right pyramids: Pythagoras twice, the angle between two lines (cuboid, then pyramid), the angle between a line and a plane or between two planes (cuboid, then pyramid), the sine and cosine rules in 3D, then pyramids…
⬢ Blockbusters3D Trigonometry Blockbusters
Blockbusters with the questions from the 3D Trigonometry worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with multiple choice.
🧮 Tool3D Trigonometry Builder
Build a 3D diagram and find the right-angled triangle inside it: cuboids, triangular prisms (wedges), rectangular pyramids, tetrahedra, cylinders, cones, spheres and hemispheres, with their dimensions, joined up to three at a…
🔤 Fill the GapsFill the Gaps: Maths Vocabulary
A sentence explaining one of the unit’s key words, with gaps. Pick the right word for each gap from the words scattered round it: the right ones and plenty of wrong ones. A deck for every unit.
🧩 ConnectionsPythagoras & Trigonometry
Group Pythagoras, distance-between-points and exact-value trig problems by the length they give. Slips land on other groups from Standard; surds and 3D on Hard.
These are the pages for 3D Pythagoras & SOHCAHTOA in the GCSE + AQA Further Maths scheme of work, following Pearson Edexcel GCSE (9–1) Higher (1MA1), plus AQA Level 2 Further Mathematics (8365). Open this topic in Mr Wells Maths to see it alongside the rest of the course.