Area and Surface Area B

measurementandspace path stn adv

Area and surface area B (Path) | NSW Curriculum Website

• 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	Prerequisite relationships
Right-angled Triangles	- Solve problems with Pythagoras’ theorem → Identify slant and perpendicular heights
Area	- Find the area of a circle → Find the surface area of a cone - Find the area of a circle → Find the surface area of a sphere
Area and Surface Area A	- Find the surface area of a prism → Find the surface area of a right pyramid - Find surface areas of composite solids → Solve surface area problems for composite solids

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