How to Calculate the Surface Area of Pyramids and Cones
The surface area of a pyramid or cone is the base plus the lateral faces. Both lateral formulas use the slant height, not the vertical height, which is the distinction that causes most errors.
Worked examples: surface area of pyramids and cones
Practice questions on pyramid and cone surface area
- Determine the surface area of a triangular pyramid with a triangular base of area (15 text{ cm}^2), base perimeter of (18 text{ cm}), and a slant height of (9 text{ cm}).
- What is the surface area of a cone with a radius of (4 text{ cm}) and a slant height of (8 text{ cm})?
- ( 96 text{ cm}^2 )
- ( 150.8 text{ cm}^2 )
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