Surface area of a frustum of a cone
I can calculate the surface area of a frustum of a cone.
Surface area of a frustum of a cone
I can calculate the surface area of a frustum of a cone.
Lesson details
Key learning points
- The frustum of a cone can be thought of as a cone with the top missing.
- Calculating the surface area for the frustum of a cone is a similar method to finding the area.
- There is an extra face to consider, the top of the frustum.
Common misconception
Pupils may confuse the slant length (which is needed to find the curved surface area of the cone or frustum) with the perpendicular (or vertical) height.
Encourage pupils to clearly label their diagrams, indicating the perpendicular height with a right-angle symbol. They may need to use Pythagoras' theorem or trigonometry to calculate the slant length.
Keywords
Frustum - A frustum is the 3D shape made from a cone by making a cut parallel to its circular base and removing the resultant smaller cone.
Surface area - The surface area is the total area of all the surfaces of a closed 3D shape. The surfaces include all faces and any curved surfaces.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
a -
16 cm
b -
4 cm
c -
21 cm