MA29-08 Maths Coming soon
Composite solids: breaking a shape into parts
MA29-08
This lesson is coming soon.
In this lesson
Find the surface area or volume of a solid built from combinations of standard solids, including frustums, by splitting it into parts and deciding which faces are still on the outside.
What it covers
- Splitting a composite 3D solid into its standard-solid parts
- Deciding which faces are internal (hidden where parts join) and excluded from surface area, vs external and included
- Combining part volumes; combining part surface areas correctly
- Frustums (a cone with the top sliced off) taught as full-solid-minus-removed-solid
- Clearly labelling which working belongs to which part - the atom's single documented failure mode
Key words
For: AQA GCSE 8300, Cambridge IGCSE 0580, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | G17 | Know the formulae: circumference of a circle = 2πr = πd |
| Cambridge IGCSE 0580 | C5.5 | Compound shapes and parts of shapes |
| Cambridge IGCSE 0580 | E5.5 | Compound shapes and parts of shapes |
| Edexcel GCSE 1MA1 | G17 | Know the formulae: circumference of a circle = 2πr = πd, area of a circle = πr²; calculate: perimeters of 2D shapes, including circles; areas of circles and composite shapes; surface area and volume of spheres, pyramids, cones and composite solids |
| Eduqas GCSE C300 | FG15 | Know the formulae: circumference of a circle = 2πr = πd, area of a circle = πr²; calculate perimeters of 2D shapes, including circles; areas of circles and composite shapes; surface area and volume of spheres, pyramids, cones and composite solids |
| Eduqas GCSE C300 | HG17 | Know the formulae: circumference of a circle = 2πr = πd, area of a circle = πr²; calculate: perimeters of 2D shapes, including circles; areas of circles and composite shapes; surface area and volume of spheres, pyramids, cones and composite solids |
| OCR GCSE J560 | 10.02c | Apply perimeter formulae in calculations involving the perimeter of composite 2D shapes. |
| OCR GCSE J560 | 10.03e | Apply area formulae in calculations involving the area of composite 2D shapes. |
| OCR GCSE J560 | 10.04b | Calculate the surface area and volume of spheres, cones and simple composite solids (formulae will be given). |
For teachers
This GCSE Maths lesson teaches composite solids: breaking a shape into parts. By the end, students should be able to find the surface area or volume of a solid built from combinations of standard solids, including frustums, by splitting it into parts and deciding which faces are still on the outside. It works through three worked examples and the mistakes examiners report.