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 scheme of work, following Pearson Edexcel GCSE (9–1) Mathematics, Higher tier (1MA1). Open this topic in Mr Wells Maths to see it alongside the rest of the course.