Plans, elevations and Pythagoras in 3D
Turn a tower of cubes, recognise its front, side and top views and draw them on a grid. Then find the space diagonal of a box with Pythagoras' theorem used twice.
- UK: Year 10
- France: grade 7
- Germany: grade 6
- Iran: grade 10
- Afghanistan: grade 8
- Syria: grade 10
- Ukraine: grade 10
- Russia: grade 10
Guide
This studio follows GCSE geometry G13 (plans and elevations of 3D shapes) and G20 (Pythagoras in 3D). Iran teaches views in its Year 7 enrichment book and Year 10 geometry; Afghanistan finds the diagonal of a cuboid in Year 8.
A view (plan or elevation) is what you see when you look straight at a solid from the front, from above or from one side. Your child turns the tower by dragging it, with the arrow buttons or the arrow keys, and draws a view by tapping squares on the grid; it does not matter where on the grid the view is drawn.
In the right side elevation the front of the solid is on the left. Common mistakes this studio works on: drawing only the front row and forgetting taller cubes behind it, swapping the left and right views, and for the diagonal of a box, using a face diagonal or adding the three edges.