The Geometry of Truncation: Calculating the Volume of a Frustum

How to Find the Volume of a Frustum · 3:52 · Video: Cognito · Watch at the source

In short: A frustum is essentially a cone or pyramid with its top sliced off. This video breaks down the precise mathematical method for calculating its volume by reconstructing the original dimensions of the full shape.

The tutorial explores how to determine the volume of a frustum, a geometric solid formed by cutting a larger cone or pyramid parallel to its base. Rather than using a single direct formula, the video demonstrates a method involving the reconstruction of the large and small cones that would exist if the shape were complete.

Learners shall discover how to recognise required measurements, execute sequential inputs into volume equations, and provide concluding values using both pi symbols and rounded significant figures. Created for international pupils, this technique accommodates everyone from GCSE Foundation through to Higher tiers.

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