frustum
9.9
The part of a cone or pyramid left after cutting off the top with a cut parallel to the base
- noun
- /ˈfrʌstəm/
- Specialized
:
frustum
- In geometry class, we learned that a frustum can be used to calculate volume using specific measurements.
Examples
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A frustum is created when a cone is sliced parallel to its base, leaving the top portion removed.
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Where h is the height and r is the radius. For a frustum of a cone, the volume is:
Blog text (18) -
The architect designed a frustum for the roof of the building to give it a modern look.
Synonyms
7.2
A pyramid with the top cut off by a flat cut parallel to its base
is the general name covering both circular and polygonal pointed solids
7.2
A cone shape with the top cut off leaving two round ends of different sizes
is the general name covering both circular and polygonal pointed solids
Surface Forms
Etymology
Frustum comes from the Latin word frustum, which meant 'a piece' or 'morsel'. So a geometric frustum is the 'piece' left after you cut the top off a cone or pyramid, and that image helps you remember the shape.
