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What's on the worksheet
- Find the lateral and total surface area of a cone from its circumference and slant height.
- Find the other two lengths of a square pyramid from one of height, slant height or edge.
- Find the slant height, surface area and height of a regular tetrahedron.
- Find the full height and lateral area of a lampshade cone with its tip cut off.
- Explain why a cone whose net is a quarter circle has slant height four times its radius.
- Show a pyramid with lateral area twice its base area has slant height equal to the base edge.
- Test a student's claim that doubling a pyramid's height doubles its lateral area.
- Find the area to paint on a model rocket's body and nose cone.
Teach it first
The free lesson teaches it with worked examples and practice problems.
Surface area of pyramids and cones: the lesson ›More Chapter 12 worksheets: Area and volume
- 12.1The apothem of a regular polygon
- 12.2Area of a regular polygon
- 12.3The five regular solids
- 12.4Cavalieri's principle
- 12.5Why the volume formulas hold: dissection, slicing and Cavalieri
- 12.6Surface area of pyramids and cones
- 12.7Surface area of a sphere
- 12.8Solids of revolution
- 12.9Modeling with solids: density and design
- 12.10Volume of a cylinder
- 12.11Volume of pyramids and cones
- 12.12Volume of a sphere