Volume of Frustum of Cone or Pyramid

Theorem

Let $F$ be a frustum of a cone or a pyramid.

The volume $V$ of $F$ is given as:

$V = \dfrac {h \paren {A_1 + A_2 + \sqrt {A_1 A_2} } } 3$

where:

$A_1$ and $A_2$ are the areas of the bases of $F$

$h$ is the altitude of $F$.

Proof

This theorem requires a proof. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): frustum
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): frustum