#MeasurementAndSpace #Path #Stn #Adv
>[!info]- [Area and surface area B (Path) | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-5/faa621ba82)
>- MA5-ARE-P-01 applies knowledge of the surface area of right pyramids and cones, spheres and composite solids to solve problems
## 📖 Prior Knowledge
| Content | Prior knowledge | Used for |
| --------------------------- | --------------------------------------------- | ------------------------------------------ |
| [[Right-angled Triangles]] | - Pythagoras' theorem | - slant heights and perpendicular heights |
| [[Area and Surface Area A]] | - surface area of prisms and composite solids | - surface area of pyramids and cones |
## [[Solve problems involving surface areas.pdf]]
- Identify the perpendicular heights and slant heights of right pyramids and right cones
- Apply Pythagoras’ theorem to find the slant heights, base lengths and perpendicular heights of right pyramids and right cones
- Solve problems involving the surface areas of right pyramids and compare methods of solution
- Apply the formula to find the curved surface area of right cones: $A=\pi rl$, where $r$ is the length of the radius and $l$ is the slant height
- Apply the formula to find the surface area of spheres: $A=4\pi r^2$, where $r$ is the length of the radius
- Solve problems involving the surface area of solids in a variety of contexts including composite solids